What distinguishes a Field from a Ring?

Context:
Thread starter highmath
Start date Dec 19, 2018
Tags

Field Ring

Join the discussion

Registration is free. Ask a follow-up in this thread, or start your own.

1 reply · 1K views

highmath

Thread starter
Dec 19, 2018

What the differences between Field and Ring?

Discussion

Physics news on Phys.org

First electrically pumped perovskite polariton laser diode solves a decades-long challenge
2D quantum memory device reaches single-electron limit of information storage
Beyond wrinkles: New rule explains why growing shapes suddenly crumple

Ackbach

Gold Member

MHB

Dec 19, 2018

A ring isn't necessarily commutative in its multiplication, and doesn't necessarily have multiplicative inverses. Some authors assume rings have a multiplicative identity $1$, other authors don't. Addition is the same.

What distinguishes a Field from a Ring?

Discussion

Undergrad Spinor calculus

Undergrad Matrix representation of rank-2 spinors

Undergrad Looking for a paper about spinors

Undergrad Why are these cycles disjoint and of equal length?

On the Moore–Penrose inverse from a banal linear algebra viewpoint

Undergrad Correct constructed example of Abelian Monoid?

Undergrad Correct state row entries in the following Sequential machine?

Insights Why Vector Spaces Explain The World: A Historical Perspective

Undergrad Quintic Polynomial Tschirnhaus Transform: Possible complex Bring Radicals

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

What distinguishes a Field from a Ring?

Discussion

Similar threads

High School What Distinguishes Wavefunction from Superposition in Photon Behavior?

Graduate What Distinguishes Hilbert Spaces from Euclidean Spaces?

Graduate What Distinguishes Rings, Fields, and Spaces in Mathematics?

Undergrad What distinguishes pressure from normal stress in bird transport phenomena?

Graduate What Distinguishes a Reeb Vector Field from a General Contact Field?

Graduate What distinguishes a polaron from an electron?

Graduate What distinguishes a theory from a framework in physics?

Graduate What distinguishes the 32 crystallographic point groups?

Undergrad What distinguishes a level set from a level curve in multi-variable calculus?

Undergrad What distinguishes one mode of vibration from another?