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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.
MHB Noetherian Modules, Submodules and Factor Modules .... Problem/Exercise
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MHB Direct Sums of Noetherian Modules .... Bland Proposition 4.2.7 .... ....
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High School Can a matrix be transformed like a vector?
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Undergrad Dyad as a product of two vectors: what does ii or jj mean?
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Undergrad Two Questions I Have About My L.A. Textbook
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MHB Noetherian Modules and Short Exact Sequences .... Bland, Corollary 4.2.6 ....
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MHB Endomorphism Rings .... Bland, Example 7, Section 1.1 .... ....
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MHB Can Submodules of a Noetherian Module Fail to Intersect with a Given Submodule?
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MHB Modules Generated by Sets of Submodules .... .... Bland Problem 2, Problem Set 4.1 .... ....
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Undergrad Outer product in geometric algebra
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MHB R[X] is never a field .... Sharp, Exercise 1.29 .... ....
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MHB Generating/spanning modules and submodules .... .... Blyth Theorem 2.3
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Undergrad Group Theory: Elements as Ops, Representations as Math?
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Undergrad Solve Coin Sum Problem: Find Combinations for 200p
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Undergrad Generating/spanning modules and submodules .... ....
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MHB Generating/spanning modules and submodules .... ....
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Undergrad Generating modules and sub modules Blyth Theorem 2.3
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MHB Artinian Modules - Bland - Proposition 4.24
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Graduate A decreasing sequence of images of an endomorphisme
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Graduate Does Closure Under Multiplication in One Subspace Imply the Same for Another?
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MHB Direct Sums and Factor Modules .... Bland Problem 14, Problem Set 2.1
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MHB Artinian Modules - Cohn Exercise 3, Section 2.2, page 65
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MHB Start on Bland Problem 1, Problem Set 4.1: Generating & Cogenerating Modules
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Graduate On a finitely generated submodule of a direct sum of modules....
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MHB On a finiteley generated submodule of a direct sum of left R-modules
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MHB Vector Space Question: Basis Vectors and Relatedness Explained
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Undergrad External Direct Sums and the Sum of a Family of Mappings ....
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Graduate Infinite matrices and the Trace function
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Undergrad Finitely Generated Modules and Maximal Submodules
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MHB Equivalent Norms: Proving $\|A\| \leq \|A\|_{Eucl} \leq \sqrt{n}\|A\|$
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Undergrad Noetherian Modules and Submodules
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Undergrad Noetherian Modules - Bland, Example 3, Section 4.2 ....
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MHB Noetherian Modules - Bland, Example 3, Section 4.2 ....
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MHB Short Exact Sequences and Direct Sums .... Bland, Proposition 3.2.7 .... ....
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MHB Are These Polynomial Factorizations Correct in Z7?
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Undergrad Short Exact Sequences & Direct Sums .... Bland, Proposition 3.2.7
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Undergrad Understanding Z2 Graded Vector Spaces: Definition and Examples
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Undergrad Split Epimorphisms .... Bland Proposition 3.2.4 ....
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MHB Split Short Exact Sequences .... Bland, Proposition 3.2.6 .... ....
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Undergrad Split Short Exact Sequences .... Bland, Proposition 3.2.6 ....
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MHB Does Proposition 3.2.6 Imply g'(y) = x' - f(f'(x'))?
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MHB Split Epimorphisms .... Bland Proposition 3.2.4 ....
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Graduate Hermitian Operators and Projectors in Linear Algebra
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Undergrad Split Monomorphisms .... Bland Defn 3.2.2 & Propn 3.2.3 ....
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MHB Split Monomorphisma .... Bland Definition 3.2.2 & Proposition 3.2.3 ....
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MHB Free Modules, Bases and Direct Sums/Products - Bland, Proposition 2.2.3
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MHB Ring Direct Products .... Bland Problem 3(a), Problem Set 2.1, Page 49 ....
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Undergrad Eigenproblem for non-normal matrix
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MHB Finitely Generated Modules - Bland Problem 1(a), Problem Set 2.2
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MHB Understanding Determinants of 2 x 2 Matrices
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MHB Irreducible Polynomial g = X^4 + X + 1 over F2
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Undergrad Understand homomorphisms from Z^a --> Z^b
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Undergrad Inverse of the sum of two matrices
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Undergrad What is difference between transformations and automorphisms
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Undergrad Linear Programming: how to identify conflicting equations
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MHB How to Compute Matrix Powers with Sage
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Graduate Are Eigenvalues of Hermitian Integer Matrices Always Integers?
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Undergrad Why Is Reflection in a Hyperplane a Linear Function?
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MHB External Direct Sums and Direct Products .... Bland Problem 1, Section 2.1 ....
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MHB Checking My Solution to Problem 2(c) of Problem Set 2.1: Seeking Critique
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MHB Is \(\bigoplus_\Delta A_\alpha\) a Right Ideal of \(\prod_\Delta R_\alpha\)?
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Undergrad How Do SU(2) and SO(3) Relate to Spinors and Vectors in Physics?
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Graduate Solve Badly Scaled Problem with Newton-Chord Technique
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MHB Help with Problem 2(a), Rings & Modules, Paul E. Bland
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MHB Understanding Categories: A Question on Commutativity
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What does î(o) represent in vectors?
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Undergrad Astrodynamics Question: Derivation of Sp. Orbital Energy?
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Undergrad Difference between R^n and other vector spaces
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Undergrad Direct Products of Modules .... Canonical Injections ....
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MHB How Is u_alpha an Injective Mapping in Proposition 2.1.4?
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Undergrad Clarification of a specific orbit example
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Undergrad Direct Products of Modules .... Bland Proposition 2.1.1 ....
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MHB Direct Products of Modules .... Bland Proposition 2.1.1 .... ....
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MHB F[x]: Congruence Solutions | Math Q&A
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MHB Ideals and Ker(f) Solution for (a), (b), and (c)
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High School How does matrix non-commutivity relate to eigenvectors?
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Undergrad Understanding SU(2) and SO(3) Representations
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MHB Understanding Proposition 2.1.1 in Paul E. Bland's Rings & Modules
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Undergrad Direct Products of Modules ....Another Question .... ....
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Undergrad Can You Add a Scalar to a Matrix Directly?
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MHB Simple Modules and Right Annihilator Ideals .... Bland, Proposition 6.1.7 ....
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MHB Homogeneous, underdetermined equation system
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Undergrad What are the best resources for learning about Lorentz group representations?
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Undergrad Proving only 1 normalized unitary vector for normal matrix
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MHB What is the determinant of a 3x3 matrix using various methods?
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MHB Noetherian Rings and Modules: Theorem 2.2 - Cohn - Section 2.2 Chain Conditions
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MHB Noetherian Modules .... Cohn Theorem 2.2 .... ....
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Undergrad Noetherian Modules .... Cohn Theorem 2.2 .... ....
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MHB Theorem 3.1.4 - Berrick and Keating - Noetherian Rings and Modules
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MHB Noetherian Modules - Maximal Condition - Berrick and Keating Ch. 3, page 111
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Undergrad How to model and resolve a static non-interpenetration constraint
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MHB How Do You Find the Inverse of a Matrix Using the Adjoint Method?
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Undergrad Example on Z-modules .... Dummit & Foote, Page 339 ....
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MHB Example on Z-modules .... Dummit & Foote, Page 339 ....
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Undergrad Linear mapping of a binary vector based on its decimal value
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MHB (R/I)-Modules .... Dummit and Foote Example (5), Section 10.1 ....
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Undergrad (R/I)-Modules .... Dummit and Foote Example (5), Section 10.1
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High School Build an affine/vector space for physics
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MHB Correspondence Theorem for Groups .... Another Question ....
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Undergrad Correspondence Theorem for Groups .... Another Question ....
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