Linear and Abstract Algebra Forum

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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.
X in dA => x isolated or strict limit (Topological space)
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Prove Sum of Series Property: a_n = Ba_{n-1} - a_{n-2}
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Completeness of irreducible representations
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Is Elementary Number Theory More Challenging Than Calculus and Linear Algebra?
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How Can You Prove the Commutative Property of Vector Addition in Rn Spaces?
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Why Do Monotonous Functions Have Only One Unique Solution?
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Reduction of a blade pseudovector quotient?
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Prove that phi(a^n - 1) is divisible by n
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Prove that a^t = -1 (mod p^k) for
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Linear Programming Theory, Optimality Criterion Question
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Infinite Sum Question (q-harmonic?)
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Projection Operators on Vector Spaces: Clarifying Mistakes
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Proving Vector Space Subspace Union: Tips and Assistance"
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Proving 2Z is Non-Isomorphic to 3Z
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PROOF: Independent vectors and spanning vectors
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Recommendation for textbook on number theory
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Questions about twin prime numbers
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Overview of Matrix Invertibility: How Can We Prove That a Matrix is Invertible?
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Does Closure of Y Guarantee Continuity of Projection in Norm Space X?
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Uncovering the Mystery of 5 & 6: A Puzzle
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How Can You Maximize the Product of Integers Given a Fixed Sum?
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Proof of n(n-1)/2 as the Number of 2-Subsets in an n-Set
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Proof of Venn Diagram for Sets A, B & C
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Master Arithmetic with Comprehensive Tables
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Doran/Lasenby. Commutator and symmetric products?
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Artin's Conjecture on Primitive Roots: Perfect Squares
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What is the relationship between subspaces V and W if V is contained in W?
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Reverse Partition grouping problem
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Problem with transformations in Rijndael's finite field
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Calculating Hamming Distances in 5-Bit Binary Sets
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Finding powers of a square matrix
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Direct Image Sheaf at Generic Point of an Irreducible Component
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Finding a Parabola using three points, no equations
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How Do Elements of Direct Product Groups Commute in Particle Physics?
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How can diagonal matrices help solve eigenvalue problems?
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Are All Bases Sets of Orthogonal Vectors?
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Modular Algorithm for Solving Equations with Unknowns Modulo 100
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When Does a Map Induce an Isomorphism or Homomorphism?
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Geometric algebra solution for intersection of planes in RN
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I was searching for the definition of localization of a ring .
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Proving Subsets: A Venn Diagram Approach
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Constructing Character Tables: Methods & Invariant Subgroups
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Is M a Subspace of V if S and T are Linear Maps from V onto W?
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Number Theory & Abstract Algebra
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Given S, T, prove that ST and TS have the same eigenvalues.
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Using Quadratic formula in other fields
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How to find eigenvalues/eigenvectors
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Is there a proof for the new Mersenne numbers conjecture?
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Regarding Diagonalization of Matrix by Spectral Theorem
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Subspaces of R2 and R3: Understanding Dimensions of Real Vector Spaces
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Conjecture re form x^2 + Mxy + y^2
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Normalizer & normal subgroup related
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Parallel discrete logs (continues: modular arithmetic)
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What is the use of the convolution theorem in multiplying large numbers?
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How to Prove the Eigenvalue Property of CrA(x)?
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Understanding Composition of Point Symmetry Generators in Lie Algebras
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Why is d(x^TCx) equal to x^T(C+C^T)dx?
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Simple problem 3x = 1 (mod 16), find all possible values of x mod 16
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Solving 2^k ≡ n mod p with Modular Arithmetic
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Defining +0 and -0 in the Integer Number Set: A Question of Limit Approaches
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Is 0 Considered a Prime Element in an Integral Domain?
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How Does the Cross Product Work in Geometric Algebra?
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Generation of isomorphic fields by separate algebraic elements
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Equivalence of Irreducibility Tests for Polynomials Under Variable Substitution
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Number Theory: An Overview for Beginners
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Help with understanding of relations of numbers and members
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Matrix Binomials: Struggling to Interpret Question
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Proving Reversibility of A with u & v of Size n*1
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Conversion from Cartesian to toroidal coordinates
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Showing a mapping is onto and/or one to one
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Physics and Mathematics - what are the unsolved problems?
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Vectors Spanned & Linear Independence
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Maximal ideal question, + invertibility
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Conjugate and Inverse Quaternions
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How do you determine the intersection of two vector subspaces?
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Graded Commutative Algebra: A Comprehensive Reference
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Is Idempotent Equivalence in Rings Transitive?
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Proving Singular Matrix A Has Nonzero Matrix B: Linear Algebra Problem
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What is Number Theory? Unraveling the Mystery
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Good Algebra Textbook: Basic to Graduate Level
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Asymptotic expansion for Mertens function
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Confused about unit vector equivalence
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Determinant Expansions: Intuitive Understanding & Proofs
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Where Can I Find a Quick Start Guide for Learning Category Theory?
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Help With Proving a is Zero Divisor Mod n iff gcd(a,n)>1
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Making a Set a Basis: Is V Spanned?
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What is the value of ||\vec{x}||How to Approach a Vector Projection Problem?
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Infinity subtracted from infinity is undefined.
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Linear Operators: False for Non-Finite Dimensional Vector Spaces
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Elements of SO(3): Listing All Matrices
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What is the Solution to Finding a Set of n+1 Integers from 2n?
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Irreducibility in multiple dimensions
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Proving N(H) is a Subgroup of G to Normalizers in Group Theory
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Needed: Help with proving commutitivity
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Q1: Does A and its transpose have the same eigenspace?
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Generating Rings with Ideals: The Possibilities and Implications
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Why Is Matrix Multiplication Defined the Way It Is?
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Proving a Dimensional Inequality for Null Spaces of Linear Transformations
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How Can We Represent and Sum the Rows of This Manipulated Pascal's Triangle?
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Conjecture about Dirichlet series.
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