What is Rings: Definition and 437 Discussions

Fighting Network Rings, trademarked as RINGS, is a Japanese combat sport promotion that has lived three distinct periods: puroresu promotion from its inauguration to 1995, mixed martial arts promotion from 1995 to its 2002 disestablishment, and the revived mixed martial arts promotion from 2008 onward.
RINGS was founded by Akira Maeda on May 11, 1991, following the dissolution of Newborn UWF. At that time, Maeda and Mitsuya Nagai were the only two people to transfer from UWF, wrestlers such as Kiyoshi Tamura, Hiromitsu Kanehara and Kenichi Yamamoto would later also transfer from UWF International.

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  1. Andreas C

    B How many rings can you guess? -Riddle

    Inspired by micromass' statistics challenge, I hope you enjoy it! Recently your financial situation has been less than optimal, and you are left with no other choice but to beg for money in the square in front of the king's palace. However, begging is strictly forbidden in that particular...
  2. wolram

    I How Many Einstein Rings Have Been Discovered?

    How many Einstein rings have been found to date, i mean galaxies lensed by gravity?
  3. I

    Is it possible to see Newton rings in CT (xray) images?

    I have seen what looks like Newtons rings interference pattern in transverse CT images of 2 solid water block on top of each other. My understanding is that Newtons rings occur in visible light eg photography or scanners. Can anyone shed some light on this? :)
  4. PsychonautQQ

    A Artinian rings are noetherian, why does this make sense?

    Can somebody explain why this shouldn't surprise me? Apparently it's a corollary of the Akizuki–Hopkins–Levitzki theorem but the proof of that theorem isn't helping me really understand what's going on.
  5. F

    NMR Signals & Peaks of Di-Substituted Benzene Rings

    How many NMR signals and peaks will there be for a di-substituted benzene ring and why? The ring has one CH3 and and a Cl ortho to the CH3. (This isn't a homework problem but I am running into same issue whenever I encounter rings wrt NMR) i am specifically confused as to how to apply...
  6. C

    MHB Understanding Rings: Example of Homomorphism/Isomorphism

    Can you give an example of two rings R and S, and a function f:R⟶S such that f(ab)=f(a)f(b) for all a,b ∈ R, but f(a+b)≠f(a)+f(b) for some a,b ∈ R. I know that it has to do with proving homomorphisms/isomorphisms but am confused how to come up with the actual example.
  7. C

    MHB Proving Two Rings Are Isomorphic

    I seem to be having a difficult time trying to figure out how to do this problem. It's from a non-graded homework assignment. I was able to get every other problem except for this one.Let R = Z, together with the two operations: a + b := a + b + 3 and ab := ab + 3a + 3b + 6 Let S = Z, together...
  8. J

    The Lord of the Rings: A Discussion Community

    I was wondering if many members liked the lord of the rings and also it is hard to find people who like to talk about it in person so I thought this could be a place to discuss it anyway.
  9. N

    Mysterious Misty Rings: Unraveling the 2D View

    The other morning it was misting. In the yard the nightlight glowed. Around it the pulsing AC was visible as it appeared to make small rings that moved outward directly, the observers(like an electron as it gets more excited for ex.) We also noticed that the image/rings appeared to be only two...
  10. Alain De Vos

    Processors & Rings: Exploring Why OSs Only Use 2

    Most processors have 4 rings. Why do operating systems only use 2. Historical reason ? Overhead ? There is no need for more than two rings ?
  11. Anithadhruvbud

    Haloes or rings round the moon?

    Why sometimes rings are observed round the moon or sun? My book says When the moon or sun is observed through a thin layer of high clouds,reflection of light from fine icy crystals,present in the clouds,results in the formation of rings. Can someone please elaborate on that so that I can...
  12. B

    High voltage charge & same polarity on two concentric rings

    I have a charged ring with a high voltage potential. As I see it the charges repel from each other and so position themselves around the outside of the ring. I want to push the charge to the inside surface of the ring and so I envisioned a 2nd ring positioned concentrically just outside this...
  13. E

    Newton's Rings using refractive index of water

    Hi I am currently looking at Newtons Rings, i have changed my refractive index to water (distilled), i have found the rings and they seem to be as aspected except they are extremely faint barely readable infact would anyone know a cause or soulation to this?
  14. koustav

    Seeing Newton's Rings: Why Magnification is Needed

    why do we can't see Newton's ring through our naked eye?why do we need microscope? but interference pattern due to oil film or soap bubble can be seen through naked eye
  15. Math Amateur

    MHB Artinian Rings - Comments by P.M. Cohn, Ring Theory, page 66

    I am reading P.M. Cohn's book: Introduction to Ring Theory (Springer Undergraduate Mathematics Series) ... ... I am currently focused on Section 2.3: Artinian Rings: The Semisimple Case I need help with some comments made by Cohn in the introduction to Section 2.3 ... The relevant comments by...
  16. Math Amateur

    MHB The Importance of Semisimple Artinian Rings - Rowen

    In the beginning of his graduate level textbook: Ring Theory, Louis Halle Rowen makes the following statement: "In the solar system of ring theory the Sun is certainly the semisimple Artinian ring ... ... "Can anyone explain why Rowen might say this? Do MHB readers agree? Peter
  17. Math Amateur

    MHB Noetherian Rings and Modules: Theorem 2.2 - Cohn - Section 2.2 Chain Conditions

    I am reading P.M. Cohn's book: Introduction to Ring Theory (Springer Undergraduate Mathematics Series) ... ... I am currently focused on Section 2.2: Chain Conditions ... which deals with Artinian and Noetherian rings and modules ... ... I need help with understanding a feature of the Theorem...
  18. Salvador

    Slip rings, commutator, dc motor

    If I'm not mistaking , all DC and also universal motors have a brushed commutator not a slip ring commutator because the rotor wires need to keep the same current direction as they rotate pass the same magnetic stator pole. so the only DC motor which could operate on slip rings is a homopolar...
  19. Math Amateur

    MHB Theorem 3.1.4 - Berrick and Keating - Noetherian Rings and Modules

    I am reading the book "An Introduction to Rings and Modules with K-theory in View" by A.J. Berrick and M.E. Keating ... ... I am currently focused on Chapter 3; Noetherian Rings and Polynomial Rings. I need help with the proof of Theorem 3.1.4. A brief explanation of the proof precedes the...
  20. Math Amateur

    MHB Proposition 3.1.2 in B&K: Help Needed on Exact Sequences/Noetherian Rings

    I am reading the book "An Introduction to Rings and Modules with K-theory in View" by A.J. Berrick and M.E. Keating ... ... I am currently focused on Chapter 3; Noetherian Rings and Polynomial Rings. I need help with yet another aspect of the proof of Proposition 3.1.2. The statement and...
  21. Math Amateur

    MHB Help Needed: Analzying Berrick & Keating's Prop. 3.1.2 on Noetherian Rings

    I am reading the book "An Introduction to Rings and Modules with K-theory in View" by A.J. Berrick and M.E. Keating ... ... I am currently focused on Chapter 3; Noetherian Rings and Polynomial Rings. I need help with another aspect of the proof of Proposition 3.1.2. The statement and proof of...
  22. DeldotB

    Finding the ideals of an algebra

    Say I have the algebra \mathbb{Z}_5[x]/I where is the I is the principle ideal generated by x^2+4. How do I find the ideals in A? I can't seem to find an explanation that is clear anywhere. Thanks!
  23. Math Amateur

    MHB Exact Sequences and Noetherian Rings - Proposition 3.1.2 - Berrick and Keating

    I am reading the book "An Introduction to Rings and Modules with K-theory in View" by A.J. Berrick and M.E. Keating ... ... I am currently focused on Chapter 3; Noetherian Rings and Polynomial Rings. I need help with the proof of Proposition 3.1.2. The statement and proof of Proposition 3.1.2...
  24. DeldotB

    Principle Ideals of a Polynomial Quotient Ring

    Homework Statement Let A be the algebra \mathbb{Z}_5[x]/I where I is the principle ideal generated by x^2+4 and \mathbb{Z}_5[x] is the ring of polynomials modulo 5. Find all the ideals of A Let G be the group of invertible elements in A. Find the subgroups of the prime decomposition.Homework...
  25. saranya_sarah

    Why gold rings are not made from 100% gold?

    1. The problem statement, all variables and given/known dat Why gold rings are not made from pure gold but mixed with other metals? Homework EquationsThe Attempt at a Solution [/B]my answer...because when two elements are combined chemically they produce a new compound and this avoids...
  26. P

    The Lords of the Rings among centaurs

    The Lords of the Rings among centaurs (Phys.org)—Chariklo, the largest known centaur object, orbiting in a region between Saturn and Uranus, is a very intriguing celestial body that surprised astronomers last year. This remote minor planet has unveiled the existence of its rings during a...
  27. L

    Exploring Newton's Rings: Why Width of Dark Ring Decreases from Center

    why the width of dark ring decreases as we go away from the center in Newton's rings experiment?
  28. Math Amateur

    MHB Solutions to Irreducible Polynomials & Quotient Rings

    I have just finished a post entitled: http://mathhelpboards.com/linear-abstract-algebra-14/irreducible-polynomials-quotient-rings-rotman-proposition-3-116-a-16163.htmlon the Linear and Abstract Algebra Forum ... I want to have the following code recognised: k(z) \subseteq \text{ I am } \phi...
  29. Math Amateur

    MHB Irreducible Polynomials and Quotient Rings - Rotman Proposition 3.116

    I am reading Joseph J. Rotman's book: A First Course in Abstract Algebra with Applications (Third Edition) ... I am currently focused on Section 3.8 Quotient Rings and Finite Fields ... I need help with an aspect of the proof of Proposition 3.116 Proposition 3.116 and its proof reads as...
  30. Math Amateur

    MHB Polynomial Rings _ Bland - Theorem 6.3.17

    I am reading Paul E. Bland's book, "The Basics of Abstract Algebra". I am currently focused on Chapter 6: Polynomial Rings. I need help with an aspect of Theorem 6.3.17. Theorem 6.3.17 requires awareness of the notation of Definition 6.3.15 which reads as follows...
  31. Math Amateur

    MHB Polynomial Rings - Irreducibility

    I am reading Joseph J. Rotman's book: A First Course in Abstract Algebra with Applications (Third Edition) ... I am currently focused on Section 3.7 Irreducibility... I need help with an aspect of the proof of Theorem 3.97. Theorem 3.97 and its proof read as follows: Now, the first part of...
  32. E

    Simulating Saturn's rings in python

    Hi, I have to write a program in python (for school) that simulates a specific structure. I choosed saturn's rings. I've started by wrinting an N-body code. My goals are explaining the divisions in saturn rings as cassini division. I don't know if it's a great subject. The teacher told us to...
  33. W

    Can we use counter-rotating rings to generate power on space

    I was reading a post by spongebob_79 about using counter-rotating rings to generate power and I had a thought. What is the general opinion of using counter-rotating rings mounted to 2 facing sides of a structure and simpily inducing opposite spins on the structures to generate power? Obviously...
  34. Math Amateur

    MHB Euclidean Rings - Rotman Example 3.76

    I am reading Joseph J. Rotman's book: A First Course in Abstract Algebra with Applications (Third Edition) ... I am currently focused on Section 3.5 From Numbers to Polynomials ... I need help with Example 3.76 ... ... the example concerns Euclidean rings and their defining characteristics so...
  35. Math Amateur

    MHB Lemma 2 - Factor Rings of Polynomials Over a Field - Nicholson, Lemma 2, Page 224

    I am reading W. Keith Nicholson's book: Introduction to Abstract Algebra (Third Edition) ... I am focused on Section 4.3:Factor Rings of Polynomials over a Field. I need some help with the proof of Lemma 2 on page 223-224. The relevant text from Nicholson's book is as...
  36. Math Amateur

    MHB Factor Rings of Polynomials Over a Field - Nicholson, Lemma 1, Page 224

    I am reading W. Keith Nicholson's book: Introduction to Abstract Algebra (Third Edition) ... I am focused on Section 4.3:Factor Rings of Polynomials over a Field. I need some help with the proof of Part 1 of Lemma 1 on page 223-224. The relevant text from Nicholson's book is as follows...
  37. Jimster41

    Are Saturn's Rings Caused by Fractal Structures?

    It's very recent, but it discusses the question of cause of and stability of Saturn's and other ring systems. I came to this site wondering about them. I got the impression from answers received here they were well understood? This paper seems to suggest there are a number of big questions, and...
  38. Math Amateur

    MHB Exploring Monoid Rings in Aluffi's Algebra: Chapter 0

    I am reading Paolo Aluffi's book, Algebra: Chapter 0. I have a question related to Aluffi's description of monoid rings ... ... In Chapter III, Section 1.4 on monoid rings, we read the following: In the above text we find:"Given a monoid (M, \cdot ) and a ring R, we can obtain a new ring...
  39. omega5

    Rings on a rod: angular momentum conceptual question

    Homework Statement A uniform rod of mass 3.15×10−2kg and length 0.380m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.250kg , are mounted so that they can slide along the rod. They are initially held by catches...
  40. jedishrfu

    Discover Earth's Plasma Rings | Cleo Loi Proves Existence of Plasma Tubes

    http://www.news.com.au/technology/science/aussie-student-proves-existence-of-plasma-tubes-floating-above-earth/story-fnjwlcze-1227379756018
  41. H

    Rationale for size and number of accelerator rings

    large facilities like CERN have multiple rings of different diameters to prep the beam for the main ring. I get this is something like gears in a truck. my question is what are the broad design constraints for choosing a specific number of rings of a specific diameter?
  42. mnmman

    Hybridization of carbanion in rings

    So this question asked me to determine whether this compound was aromatic, antiaromatic, or nonaromatic and also asked how many pi electrons there were. I figure since there are four groups of electrons the carbanion is sp3 hybridized and I think I'm correct because that is what this thread...
  43. A

    Why Cherenkov light leave rings instead of full circles?

    If the image we obtain from Cherenkov light is actually the projection of a continuous wave front (Fig. 1) on a vertical plane, orthogonal respect to the direction of propagation of the incident particle, why we just see a ring (Fig. 2), instead of a full circle? Is it because Cherenkov light is...
  44. PsychonautQQ

    Rings and Polynomials and other voodoo

    Homework Statement Prove the following theorem: Let R be any ring and let f =! 0 and g =! 0 (they don't equal zero) be polynomials in R[x]. If the leading coefficient of either f or g is a unit in R, then: 1) fg =! 0 in R[x] 2) deg(fg) = deg(f) + deg(g) Homework EquationsThe Attempt at a...
  45. oreo

    Newton's Rings: Darker or Brighter Central Spot?

    If light is transmitted at a point of contact in Newton's rings. The central spot will be darker or brighter?
  46. Math Amateur

    MHB Switch from rings and modules to analysis

    I am temporarily switching my studies from abstract algebra to mathematical analysis. I am thinking of reading the following book: Principles of Mathematical Analysis by Walter Rudin. What books to MHB members advise me to use in order to gain a full understanding of undergraduate level...
  47. Math Amateur

    MHB Commutative rings are IBN-rings - Bland Proposition 2.2.11

    I am reading Paul E. Bland's book, "Rings and Their Modules". I am trying to understand Section 2.2 on free modules and need help with the proof of Proposition 2.2.11. Proposition 2.2.11 and its proof read as follows: Proposition 2.2.11 relies on the definition of an IBN-ring so I am providing...
  48. Math Amateur

    MHB Help with Paul E. Bland's Division Rings and IBN-rings Prop 2.2.10 Proof

    I am reading Paul E. Bland's book, "Rings and Their Modules". I am trying to understand Section 2.2 on free modules and need help with the proof of Proposition 2.2.10. Proposition 2.2.10 and its proof read as follows:My question/problem is concerned with Bland's proof of Proposition 2.2.10...
  49. Math Amateur

    MHB Endomorphism Rings - Bland Example 7 - page 10

    I am reading Paul E. Bland's book, "Rings and Their Modules". In Chapter 1: Basic Properties of Rings and Modules, Bland gives endomorphism rings as a basic example of a ring. The example (Example 7) reads as follows:https://www.physicsforums.com/attachments/3572 I do not feel that I fully...
  50. P

    Why do Fresnel rings appear in laser beam experiments?

    Hi, I have a very simple test bench set up with a HeNe laser, followed by a spatial filter, then an Iris and then a couple of lenses. I can observe many fresnel rings on my image plane. Changing the size of the iris, and its distance changes the number of of rings. I would like to know why...
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