Join experts in discussing linear and abstract algebra topics. This includes vector spaces and linear transformations. Also groups and other algebraic structures along with Number Theory.
Threads
How to Find the GCD and LCD in Mathematics?
- karush
- · Replies 3 ·
Another Question on Torsion Elements .... D&F Section 10.1, Exercise 8 ....
- Math Amateur
- · Replies 1 ·
Join the MA104 College Algebra Forum at Lehman College
- mathdad
- · Replies 2 ·
Is \( n! > 2^n \) for \( n \ge 4 \)?
- karush
- · Replies 4 ·
Undergrad Confused by this result for the tensor product of two vectors
- Prez Cannady
- · Replies 3 ·
Matrix solutions with variable coefficient
- TheFallen018
- · Replies 1 ·
Undergrad An Embarrassing Question about turning a ring into a module
- TMO
- · Replies 3 ·
Undergrad Spivak's proof of Cauchy Schwarz
- e-pie
- · Replies 6 ·
Graduate Is the Injective Hull of an Irreducible Module in Group K?
- TMO
- · Replies 5 ·
High School Please help me, I do not understand this sentence in vector mathematics
- physicophysiology
- · Replies 3 ·
Undergrad Understanding Quotient Groups in Abstract Algebra
- Wledig
- · Replies 8 ·
The cofactors of elements for every determinant
- Tonia1
- · Replies 6 ·
Undergrad Property of Jacobian Determinant
- Gear300
- · Replies 2 ·
La1.1.22 3 aug matrices for linear sys solution set is x_1=3,x_2=-2,x_3=-1
- karush
- · Replies 9 ·
Graduate Proving the Dual of Schanuel's Lemma
- TMO
- · Replies 7 ·
Graduate Construct a unique simple submodule
- TMO
- · Replies 1 ·
What is a Quinary Vector and How is it Related to Matrices?
- Sudharaka
- · Replies 6 ·
High School Can elementary matrix operations change the solutions to a system of equations?
- opus
- · Replies 10 ·
Undergrad What Are the Symmetry Groups of GL(10, R) and Z?
- Mr Davis 97
- · Replies 18 ·
Undergrad Rotation of a point in R3 about the y-axis
- NatFex
- · Replies 6 ·
High School Can Linear Systems of Equations Have More Than Three Solutions?
- opus
- · Replies 29 ·
Undergrad Why Does the Proof Assume ##|x| = n## in Finite Cyclic Groups?
- Mr Davis 97
- · Replies 9 ·
Undergrad Is quintic only polynomial that needs to be proven imposs?
- swampwiz
- · Replies 2 ·
Undergrad Using group action to prove a set is a subgroup
- Mr Davis 97
- · Replies 1 ·
Why Is the Containment xR ⊆ x1R Proper in Lemma 4.3.10?
- Math Amateur
- · Replies 3 ·
Two dimensional rotational Matrix
- cbarker1
- · Replies 3 ·
Why Does \( a_1 \mid b_1 b_2 \cdots b_n \) in Theorem 7.2.20?
- Math Amateur
- · Replies 3 ·
Why Does p|aby' in Theorem 7.2.14?
- Math Amateur
- · Replies 4 ·
Is there a formula that gives me the RREF of a matrix?
- Rorschach
- · Replies 2 ·
Equation of a plane determined by three or four points in R4
- Rorschach
- · Replies 2 ·
Why Does y ∈ xR Imply xR = yR in Theorem 3.2.19?
- Math Amateur
- · Replies 2 ·
Solves Theorem 3.2.19 in Bland's Abstract Algebra
- Math Amateur
- · Replies 1 ·
Prime and Maximal Ideals .... Bland -AA - Theorem 3.2.16 .... ....
- Math Amateur
- · Replies 2 ·
Graduate Number Line in Synthetic differential geometry
- Srr
- · Replies 6 ·
Maximal Ideal .... Bland - AA - Example 2, Section 3.2.12 .... ....
- Math Amateur
- · Replies 3 ·
Graduate Does an irreducible representation acting on operators imply....
- hideelo
- · Replies 3 ·
Ring vs. Field: Comparing Two Common Sports Venues
- roni1
- · Replies 4 ·
Definition of a Euclidean Domain ....
- Math Amateur
- · Replies 2 ·
Principal Ideal Domains .... ....
- Math Amateur
- · Replies 2 ·
Undergrad Vector that satisfies systems of equations simultaneously
- Telemachus
- · Replies 9 ·
Undergrad Showing that inverse of an isomorphism is an isomorphism
- Mr Davis 97
- · Replies 3 ·
Undergrad Showing that every element in G can be written a certain way
- Mr Davis 97
- · Replies 1 ·
Principal Ideal Rings and GCDs .... .... Bland Proposition 4.3.3
- Math Amateur
- · Replies 1 ·
Undergrad Ways of writing a logical argument
- Mr Davis 97
- · Replies 1 ·
Undergrad Showing that AxB is isomorphic to BxA
- Mr Davis 97
- · Replies 1 ·
Jordan-Holder Theorem for Modules .... .... Another Two Questions ....
- Math Amateur
- · Replies 1 ·
Jordan-Holder Theorem for Modules .... ....
- Math Amateur
- · Replies 2 ·
Composition Series and Noetherian and Artinian Modules ....
- Math Amateur
- · Replies 3 ·
Undergrad Showing that two groups are not isomorphic question
- Mr Davis 97
- · Replies 1 ·
Undergrad Show that commutativity is a structural property
- Mr Davis 97
- · Replies 1 ·
Undergrad Complete sets and complete spaces
- cromata
- · Replies 2 ·
Undergrad Order of a permutation is the lcm of the orders of cycles
- Mr Davis 97
- · Replies 5 ·
Undergrad Given order for every element in a symmetric group
- Mr Davis 97
- · Replies 2 ·
Undergrad Prove that elements of x^i 0<i<n-1 are distinct
- Mr Davis 97
- · Replies 3 ·
Undergrad Why choose traceless matrices as basis?
- phoenix95
- · Replies 1 ·
Undergrad Can You Determine the Order of (a,b) in A x B?
- Mr Davis 97
- · Replies 1 ·
Undergrad Prove that x and x^-1 have same order
- Mr Davis 97
- · Replies 1 ·
Undergrad Showing that a binary operation is well-defined
- Mr Davis 97
- · Replies 5 ·
Undergrad Necessary and sufficient x^3=1
- Mr Davis 97
- · Replies 4 ·
Undergrad How can we use induction to prove the generalized associative law?
- Mr Davis 97
- · Replies 3 ·
Undergrad What is orientation or shear transform collectively termed?
- swampwiz
- · Replies 1 ·
Graduate Getting new irreducible representations from old ones
- hideelo
- · Replies 2 ·
Undergrad A little problem about quotient modules
- steenis
- · Replies 12 ·
How Does Corollary 4.2.6 Prove M is Noetherian?
- Math Amateur
- · Replies 10 ·
Generation of Modules .... Dummit and Foote, Section 10.3 .... ....
- Math Amateur
- · Replies 4 ·
Undergrad Real function inner product space
- Mr Davis 97
- · Replies 6 ·
Choose from the following set of vectors in R4
- forzi
- · Replies 4 ·
Undergrad Rings, Modules and the Lie Bracket
- nigelscott
- · Replies 10 ·
Undergrad How Does Zero Characteristic Influence the Structure of Prime Subfields?
- Danijel
- · Replies 2 ·
Undergrad Zero divisors of an endomorphism ring
- Danijel
- · Replies 1 ·
Homomorphic Images of Free Modules .... Bland, Proposition 2.2.6 .... ....
- Math Amateur
- · Replies 1 ·
Understanding Bland's Proposition 4.2.10 in Rings and Modules
- Math Amateur
- · Replies 4 ·
Finite Sum of Indecomposable Modules .... Bland, Proposition 4.2.10 .... ....
- Math Amateur
- · Replies 1 ·
Undergrad Is perspective a homothetic transformation?
- swampwiz
- · Replies 7 ·
Noetherian Modules: Direct Sums & Bland Proposition 4.2.7
- Math Amateur
- · Replies 9 ·
Undergrad A question I have about my L.A. textbook (2)
- StoneTemplePython
- · Replies 6 ·
How to Prove Corollary 4.2.8 in Noetherian Rings?
- Math Amateur
- · Replies 6 ·
Graduate Differences between Gaussian integers with norm 25
- Ventrella
- · Replies 2 ·
Undergrad Submodules and Factor Modules of a Noetherian Module ....
- Math Amateur
- · Replies 13 ·
Noetherian Modules, Submodules and Factor Modules .... Problem/Exercise
- Math Amateur
- · Replies 21 ·
Direct Sums of Noetherian Modules .... Bland Proposition 4.2.7 .... ....
- Math Amateur
- · Replies 2 ·
High School Can a matrix be transformed like a vector?
- snoopies622
- · Replies 2 ·
Undergrad Dyad as a product of two vectors: what does ii or jj mean?
- Sorcerer
- · Replies 7 ·
Undergrad Two Questions I Have About My L.A. Textbook
- gibberingmouther
- · Replies 6 ·
Noetherian Modules and Short Exact Sequences .... Bland, Corollary 4.2.6 ....
- Math Amateur
- · Replies 9 ·
Endomorphism Rings .... Bland, Example 7, Section 1.1 .... ....
- Math Amateur
- · Replies 2 ·
Can Submodules of a Noetherian Module Fail to Intersect with a Given Submodule?
- Math Amateur
- · Replies 2 ·
Modules Generated by Sets of Submodules .... .... Bland Problem 2, Problem Set 4.1 .... ....
- Math Amateur
- · Replies 66 ·
Undergrad Outer product in geometric algebra
- Silviu
- · Replies 8 ·
R[X] is never a field .... Sharp, Exercise 1.29 .... ....
- Math Amateur
- · Replies 2 ·
Generating/spanning modules and submodules .... .... Blyth Theorem 2.3
- Math Amateur
- · Replies 1 ·
Undergrad Group Theory: Elements as Ops, Representations as Math?
- kent davidge
- · Replies 7 ·
Undergrad Solve Coin Sum Problem: Find Combinations for 200p
- Arman777
- · Replies 13 ·
Undergrad Generating/spanning modules and submodules .... ....
- Math Amateur
- · Replies 5 ·
Generating/spanning modules and submodules .... ....
- Math Amateur
- · Replies 2 ·
Undergrad Generating modules and sub modules Blyth Theorem 2.3
- Math Amateur
- · Replies 3 ·
Artinian Modules - Bland - Proposition 4.24
- Math Amateur
- · Replies 7 ·
How to Solve a Vector Word Problem Involving Airplanes and Wind?
- Gummg
- · Replies 3 ·
Graduate A decreasing sequence of images of an endomorphisme
- steenis
- · Replies 18 ·
Graduate Does Closure Under Multiplication in One Subspace Imply the Same for Another?
- mnb96
- · Replies 3 ·