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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Graduate A decreasing sequence of images of an endomorphisme
- steenis
- · Replies 18 ·
Graduate If U is closed under * in V=U⊕W, is W also closed?
- mnb96
- · Replies 3 ·
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 in Cohn's ring theory textbook
- Math Amateur
- · Replies 10 ·
Start on Bland Problem 1, Problem Set 4.1: Generating & Cogenerating Modules
- Math Amateur
- · Replies 37 ·
Graduate Finitely generated submodule of direct sum of modules
- steenis
- · Replies 7 ·
On a finiteley generated submodule of a direct sum of left R-modules
- steenis
- · Replies 1 ·
Can basis vectors from two vector spaces be related through composition?
- moyo
- · Replies 10 ·
Undergrad External direct sums and sum of families of mappings in Bland
- 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 ·
Plane velocity with wind using vector components
- JRoomer
- · Replies 1 ·
Undergrad Understanding Z2 Graded Vector Spaces: Definition and Examples
- Silviu
- · Replies 3 ·
Undergrad Split epimorphisms in Bland's Rings and Their Modules
- Math Amateur
- · Replies 4 ·
Proposition 3.2.6 in Bland's Rings and Their Modules
- 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 in Bland's Rings and Their Modules
- 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 in Bland definition 3.2.2
- Math Amateur
- · Replies 5 ·
Split monomorphism in Bland's Rings and Modules 3.2.2
- Math Amateur
- · Replies 2 ·
Free Modules, Bases and Direct Sums/Products - Bland, Proposition 2.2.3
- Math Amateur
- · Replies 5 ·
Right ideals of ring direct products are direct products
- Math Amateur
- · Replies 8 ·
Undergrad Eigenproblem for non-normal matrix
- swampwiz
- · Replies 5 ·
Direct sum of finitely generated modules is finitely generated
- 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 ·
Proving product equals direct sum iff index set is finite
- Math Amateur
- · Replies 17 ·
Is the direct sum a right ideal of the direct product of rings?
- 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 ·
Product of right ideals is a right ideal in Bland section 2.1
- 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 Why is u_α injective in Bland's Proposition 2.1.4 on direct products?
- Math Amateur
- · Replies 12 ·
How Is u_alpha an Injective Mapping in Proposition 2.1.4?
- Math Amateur
- · Replies 4 ·
Undergrad Orbits of Z/6Z under cyclic permutation and 2-element subsets
- mk9898
- · Replies 3 ·
Undergrad Where R-linearity is used in Bland's Proposition 2.1.1 on direct products
- Math Amateur
- · Replies 4 ·
Why R-linear property matters in Bland's Proposition 2.1.1 on direct products
- Math Amateur
- · Replies 4 ·
Finding congruence solutions in F[x] and checking my work
- 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 ·
Proof of Proposition 2.1.1 in Bland's Rings and Modules
- Math Amateur
- · Replies 1 ·
Undergrad Uniqueness in Proposition 2.1.1 on direct products of modules
- Math Amateur
- · Replies 2 ·
Undergrad Can You Add a Scalar to a Matrix Directly?
- Danijel
- · Replies 2 ·
Right annihilator of R/m in 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 ·
Cohn Theorem 2.2: why equality holds in chain from N_k onwards
- Math Amateur
- · Replies 2 ·
Undergrad Proof of Theorem 2.2 on Noetherian modules in Cohn
- 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 Why is the Z-module action on an abelian group unique?
- Math Amateur
- · Replies 2 ·
Z-module actions and uniqueness in Dummit & Foote
- Math Amateur
- · Replies 1 ·
Undergrad Linear mapping of a binary vector based on its decimal value
- smehdi
- · Replies 6 ·
Why (R/I)-modules require am=0 for all a in I and m in M
- Math Amateur
- · Replies 8 ·
Undergrad Why (R/I)-modules require am = 0 for all a in I
- Math Amateur
- · Replies 7 ·
High School Build an affine/vector space for physics
- Aleoa
- · Replies 13 ·
Correspondence Theorem surjectivity proof in Rotman chapter 1
- Math Amateur
- · Replies 2 ·
Undergrad Correspondence theorem for groups: preimage properties and surjectivity
- Math Amateur
- · Replies 5 ·
Undergrad Why does π(a) = π(s) imply as⁻¹ ∈ ker π in Rotman 1.82?
- Math Amateur
- · Replies 5 ·
Proving as⁻¹ ∈ ker π in 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 ·
Why is f an epimorphism in Bland's third isomorphism theorem for rings?
- Math Amateur
- · Replies 3 ·
Undergrad Why is f onto (I₁+I₂)/I₂ in Bland's third isomorphism theorem for rings?
- Math Amateur
- · Replies 2 ·
Undergrad Kernel of homomorphism in second isomorphism theorem for rings
- Math Amateur
- · Replies 4 ·
Verify my polynomial proof
- Joe20
- · Replies 1 ·