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.
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Direct Sums and Factor Modules .... Bland Problem 14, Problem Set 2.1
- Math Amateur
- · Replies 8 ·
Max Complex Matrices of Order $n$: $\lfloor n^2/4\rfloor + 1$
- MountEvariste
- · Replies 2 ·
Artinian Modules - Cohn Exercise 3, Section 2.2, page 65
- Math Amateur
- · Replies 10 ·
Start on Bland Problem 1, Problem Set 4.1: Generating & Cogenerating Modules
- Math Amateur
- · Replies 37 ·
Graduate On a finitely generated submodule of a direct sum of modules....
- steenis
- · Replies 7 ·
On a finiteley generated submodule of a direct sum of left R-modules
- steenis
- · Replies 1 ·
Vector Space Question: Basis Vectors and Relatedness Explained
- moyo
- · Replies 10 ·
Undergrad External Direct Sums and the Sum of a Family of Mappings ....
- Math Amateur
- · Replies 4 ·
Graduate Infinite matrices and the Trace function
- LagrangeEuler
- · Replies 3 ·
Undergrad Coordinate systems in ##\mathbb{R}^2##
- kent davidge
- · Replies 27 ·
Undergrad Finitely Generated Modules and Maximal Submodules
- Math Amateur
- · Replies 3 ·
Equivalent Norms: Proving $\|A\| \leq \|A\|_{Eucl} \leq \sqrt{n}\|A\|$
- mathmari
- · Replies 4 ·
Undergrad Noetherian Modules and Submodules
- Math Amateur
- · Replies 15 ·
Undergrad Noetherian Modules - Bland, Example 3, Section 4.2 ....
- Math Amateur
- · Replies 4 ·
Noetherian Modules - Bland, Example 3, Section 4.2 ....
- Math Amateur
- · Replies 6 ·
Proving Identities Using Axioms of Equality
- solakis1
- · Replies 16 ·
Short Exact Sequences and Direct Sums .... Bland, Proposition 3.2.7 .... ....
- Math Amateur
- · Replies 2 ·
Are These Polynomial Factorizations Correct in Z7?
- ertagon2
- · Replies 4 ·
Undergrad Short Exact Sequences & Direct Sums .... Bland, Proposition 3.2.7
- Math Amateur
- · Replies 25 ·
Help Needed: Vectors - Calculate Plane Velocity & Direction
- JRoomer
- · Replies 1 ·
Undergrad Understanding Z2 Graded Vector Spaces: Definition and Examples
- Silviu
- · Replies 3 ·
Undergrad Split Epimorphisms .... Bland Proposition 3.2.4 ....
- Math Amateur
- · Replies 4 ·
Split Short Exact Sequences .... Bland, Proposition 3.2.6 .... ....
- Math Amateur
- · Replies 2 ·
Undergrad Split Short Exact Sequences .... Bland, Proposition 3.2.6 ....
- Math Amateur
- · Replies 3 ·
Does Proposition 3.2.6 Imply g'(y) = x' - f(f'(x'))?
- Math Amateur
- · Replies 1 ·
Split Epimorphisms .... Bland Proposition 3.2.4 ....
- Math Amateur
- · Replies 2 ·
Undergrad How to Write the Inverse of a Matrix Using Einstein Summation Notation?
- Mathematicsresear
- · Replies 5 ·
Graduate Hermitian Operators and Projectors in Linear Algebra
- LagrangeEuler
- · Replies 2 ·
Undergrad Split Monomorphisms .... Bland Defn 3.2.2 & Propn 3.2.3 ....
- Math Amateur
- · Replies 5 ·
Split Monomorphisma .... Bland Definition 3.2.2 & Proposition 3.2.3 ....
- Math Amateur
- · Replies 2 ·
Free Modules, Bases and Direct Sums/Products - Bland, Proposition 2.2.3
- Math Amateur
- · Replies 5 ·
Ring Direct Products .... Bland Problem 3(a), Problem Set 2.1, Page 49 ....
- Math Amateur
- · Replies 8 ·
Undergrad Eigenproblem for non-normal matrix
- swampwiz
- · Replies 5 ·
Finitely Generated Modules - Bland Problem 1(a), Problem Set 2.2
- Math Amateur
- · Replies 1 ·
Understanding Determinants of 2 x 2 Matrices
- ertagon2
- · Replies 1 ·
Irreducible Polynomial g = X^4 + X + 1 over F2
- aadams
- · Replies 3 ·
Undergrad Understand homomorphisms from Z^a --> Z^b
- PsychonautQQ
- · Replies 1 ·
Find position vector using midpoint of two other vectors
- TheFallen018
- · Replies 1 ·
Undergrad Inverse of the sum of two matrices
- Luck0
- · Replies 4 ·
Undergrad What is difference between transformations and automorphisms
- SVN
- · Replies 5 ·
Undergrad Linear Programming: how to identify conflicting equations
- cjs94
- · Replies 2 ·
How to Compute Matrix Powers with Sage
- karush
- · Replies 7 ·
Graduate Are Eigenvalues of Hermitian Integer Matrices Always Integers?
- LagrangeEuler
- · Replies 3 ·
Undergrad Why Is Reflection in a Hyperplane a Linear Function?
- Aleoa
- · Replies 3 ·
External Direct Sums and Direct Products .... Bland Problem 1, Section 2.1 ....
- Math Amateur
- · Replies 17 ·
Checking My Solution to Problem 2(c) of Problem Set 2.1: Seeking Critique
- Math Amateur
- · Replies 1 ·
Is \(\bigoplus_\Delta A_\alpha\) a Right Ideal of \(\prod_\Delta R_\alpha\)?
- Math Amateur
- · Replies 2 ·
Undergrad How Do SU(2) and SO(3) Relate to Spinors and Vectors in Physics?
- Silviu
- · Replies 11 ·
Graduate Solve Badly Scaled Problem with Newton-Chord Technique
- Ulver48
- · Replies 12 ·
Help with Problem 2(a), Rings & Modules, Paul E. Bland
- Math Amateur
- · Replies 2 ·
Understanding Categories: A Question on Commutativity
- topsquark
- · Replies 6 ·
High School What does î(o) represent in vectors?
- Kavya Chopra
- · Replies 7 ·
Undergrad Astrodynamics Question: Derivation of Sp. Orbital Energy?
- AdrianGriff
- · Replies 3 ·
Undergrad Difference between R^n and other vector spaces
- Mr Davis 97
- · Replies 2 ·
Undergrad Direct Products of Modules .... Canonical Injections ....
- Math Amateur
- · Replies 12 ·
How Is u_alpha an Injective Mapping in Proposition 2.1.4?
- Math Amateur
- · Replies 4 ·
Undergrad Clarification of a specific orbit example
- mk9898
- · Replies 3 ·
Undergrad Direct Products of Modules .... Bland Proposition 2.1.1 ....
- Math Amateur
- · Replies 4 ·
Direct Products of Modules .... Bland Proposition 2.1.1 .... ....
- Math Amateur
- · Replies 4 ·
F[x]: Congruence Solutions | Math Q&A
- Joe20
- · Replies 1 ·
Ideals and Ker(f) Solution for (a), (b), and (c)
- Joe20
- · Replies 12 ·
High School How does matrix non-commutivity relate to eigenvectors?
- snoopies622
- · Replies 26 ·
Undergrad Understanding SU(2) and SO(3) Representations
- Silviu
- · Replies 4 ·
Understanding Proposition 2.1.1 in Paul E. Bland's Rings & Modules
- Math Amateur
- · Replies 1 ·
Undergrad Direct Products of Modules ....Another Question .... ....
- Math Amateur
- · Replies 2 ·
Undergrad Can You Add a Scalar to a Matrix Directly?
- Danijel
- · Replies 2 ·
Simple Modules and Right Annihilator Ideals .... Bland, Proposition 6.1.7 ....
- Math Amateur
- · Replies 1 ·
Homogeneous, underdetermined equation system
- ToastIQ
- · Replies 9 ·
Undergrad What are the best resources for learning about Lorentz group representations?
- Silviu
- · Replies 1 ·
Undergrad Proving only 1 normalized unitary vector for normal matrix
- swampwiz
- · Replies 3 ·
What is the determinant of a 3x3 matrix using various methods?
- karush
- · Replies 2 ·
Noetherian Rings and Modules: Theorem 2.2 - Cohn - Section 2.2 Chain Conditions
- Math Amateur
- · Replies 3 ·
Noetherian Modules .... Cohn Theorem 2.2 .... ....
- Math Amateur
- · Replies 2 ·
Undergrad Noetherian Modules .... Cohn Theorem 2.2 .... ....
- Math Amateur
- · Replies 3 ·
Theorem 3.1.4 - Berrick and Keating - Noetherian Rings and Modules
- Math Amateur
- · Replies 2 ·
Noetherian Modules - Maximal Condition - Berrick and Keating Ch. 3, page 111
- Math Amateur
- · Replies 2 ·
Undergrad How to model and resolve a static non-interpenetration constraint
- fermipasta
- · Replies 1 ·
How Do You Find the Inverse of a Matrix Using the Adjoint Method?
- karush
- · Replies 15 ·
Undergrad Example on Z-modules .... Dummit & Foote, Page 339 ....
- Math Amateur
- · Replies 2 ·
Example on Z-modules .... Dummit & Foote, Page 339 ....
- Math Amateur
- · Replies 1 ·
Undergrad Linear mapping of a binary vector based on its decimal value
- smehdi
- · Replies 6 ·
(R/I)-Modules .... Dummit and Foote Example (5), Section 10.1 ....
- Math Amateur
- · Replies 8 ·
Undergrad (R/I)-Modules .... Dummit and Foote Example (5), Section 10.1
- Math Amateur
- · Replies 7 ·
High School Build an affine/vector space for physics
- Aleoa
- · Replies 13 ·
Correspondence Theorem for Groups .... Another Question ....
- Math Amateur
- · Replies 2 ·
Undergrad Correspondence Theorem for Groups .... Another Question ....
- Math Amateur
- · Replies 5 ·
Undergrad Correspondence Theorem for Groups .... Rotman, Propn 1.82 ....
- Math Amateur
- · Replies 5 ·
The Correspondence Theorem for Groups .... Rotman, Proposition 1.82 ....
- Math Amateur
- · Replies 2 ·
Understanding Null Space and Column Space of a Matrix
- karush
- · Replies 4 ·
Skype is a communication software and a notebook is a small portable computer.
- Monoxdifly
- · Replies 3 ·
Convergence of iteration method - Relation between norm and eigenvalue
- mathmari
- · Replies 2 ·
Undergrad Normalized basis when taking inner product
- kent davidge
- · Replies 4 ·
What Causes Discrepancies Between Rational Root Test and Modulo p Methods?
- Joe20
- · Replies 5 ·
Is $\underline{k} = \langle 0,0,1 \rangle$ by Definition in Vector Notation?
- Joe20
- · Replies 1 ·
Third Isomorphism Theorem for Rings .... Bland Theorem 3.3.16 .... ....
- Math Amateur
- · Replies 3 ·
Undergrad Third Isomorphism Theorem for Rings .... Bland Theorem 3.3.16
- Math Amateur
- · Replies 2 ·
Undergrad Second Isomorphism Theorem for Rings .... Bland Theorem 3.3.1
- Math Amateur
- · Replies 4 ·
Polynomial Proof: Verification & Correction
- Joe20
- · Replies 1 ·
Second Isomorphism Theorem for Rings .... Bland Theorem 3.3.15 .... ....
- Math Amateur
- · Replies 6 ·
Undergrad Quotient Rings .... Remarks by Adkins and Weintraub ....
- Math Amateur
- · Replies 7 ·