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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Undergrad Finding intersection of three planes
- Tarrius
- · Replies 5 ·
Any1 can recommend any good e-book for linear algebra ?
- Unusualskill
- · Replies 5 ·
Graduate Possible title: When Does the Kernel of a Homomorphism Reduce to the Identity?
- TrickyDicky
- · Replies 5 ·
Undergrad Solutions to Span of Functions Problems
- gummz
- · Replies 3 ·
Definitions of Algebras in Cohn and in Golan
- Math Amateur
- · Replies 8 ·
Graduate What is the product representing the symmetric part of a tensor?
- mikeeey
- · Replies 2 ·
How to apply linear transformation T(x) = Ax to vectors u1 and u2
- AngrySnorlax
- · Replies 4 ·
Graduate Transform 10 to 1000 Points on x^9 to x^2 Polynomial
- compEng
- · Replies 7 ·
Definitions of Algebras in Cohn and in Dummit and Foote
- Math Amateur
- · Replies 10 ·
Second Isomorphism Theorem for Groups
- Math Amateur
- · Replies 8 ·
Graduate Definition Of Operator Exponential?
- ostrich2
- · Replies 3 ·
First Isomorphism Theorem for Modules - Cohn Theorem 1.17
- Math Amateur
- · Replies 12 ·
Graduate Why do commuting operators imply that A=A(a) will commute with b?
- Nikitin
- · Replies 1 ·
Quotient Modules and Module Homomorphisms - Cohn - Corollary 1.16
- Math Amateur
- · Replies 6 ·
Undergrad Rules for Multiplying and Adding in Modulo # Calculation
- MathewsMD
- · Replies 4 ·
Undergrad Relationship between linear (in)dependency and span
- gummz
- · Replies 5 ·
Quotient Modules and Homomorphisms
- Math Amateur
- · Replies 3 ·
Modules in Cohn's book on ring theory - simple notational issue
- Math Amateur
- · Replies 23 ·
What is the Lie algebra E8?
- topsquark
- · Replies 7 ·
Graduate Self-adjoint operators and Hermitian operators
- spaghetti3451
- · Replies 4 ·
Graduate No Cross Product in higher dimensions?
- MathewsMD
- · Replies 5 ·
Graduate Factorizing ##F_{ab}(M)## w/ Respect to Grothendieck Group - Lang's Book
- xiavatar
- · Replies 5 ·
Undergrad Reducing a 3×3 matrix to upper triangular form with elementary row operations
- JohnPrior3
- · Replies 4 ·
Finitely Generated Modules and Ascending Chains
- Math Amateur
- · Replies 11 ·
Graduate Number of quadratic residues mod N>1
- THSMathWhiz
- · Replies 3 ·
Chains of Modules and Composition Series
- Math Amateur
- · Replies 3 ·
Graduate Non-square linear systems with exterior product
- JonnyMaddox
- · Replies 1 ·
Graduate Linear operators and vector spaces
- "Don't panic!"
- · Replies 5 ·
Noetherian Modules - Cohn Theorem 2.2
- Math Amateur
- · Replies 4 ·
Noetherian Modules and Finitely Generated Modules
- Math Amateur
- · Replies 2 ·
Are rationals adjoin cube root of 3 a field?
- Ragnarok7
- · Replies 3 ·
Motivation for representations of k-algebras in Cohn's approach
- Math Amateur
- · Replies 2 ·
How structure constants determine multiplication in algebras
- Math Amateur
- · Replies 10 ·
Graduate Solving the Finite Element Method Matrix with Rao - Engineering
- Chacabucogod
- · Replies 3 ·
K-algebras, endomorphisms and k-linear mappings
- Math Amateur
- · Replies 2 ·
Graduate Computing permutation composition and fixed points
- PcumP_Ravenclaw
- · Replies 17 ·
Regular representations of finite dimensional algebras
- Math Amateur
- · Replies 7 ·
Graduate Why is the metric tensor a dot product of basis vectors, not their tensor product?
- mikeeey
- · Replies 6 ·
Group algebra kG and k-basis in Cohn chapter 2
- Math Amateur
- · Replies 3 ·
Show that ℤ[√-5] is Noetherian
- Math Amateur
- · Replies 1 ·
Undergrad How does the inner product define length and angle?
- jeremusic2
- · Replies 15 ·
k[x, x²y, x³y², ...] is not Noetherian
- Math Amateur
- · Replies 1 ·
Noetherian Rings - Dummit and Foote - Chapter 15
- Math Amateur
- · Replies 1 ·
Undergrad Does Division of Polynomials Follow a Pattern of Degree Decrease?
- chwala
- · Replies 5 ·
Graduate Linear operators and change of basis
- "Don't panic!"
- · Replies 2 ·
Graduate 2x2 matrix with factor group elements
- jostpuur
- · Replies 2 ·
Graduate How Does kR Equal Zero in Ring Theory?
- PsychonautQQ
- · Replies 5 ·
Graduate The deformation of Lie algebra ?
- Esmaeil
- · Replies 2 ·
Graduate Partitioning a Group Into Disjoint Subgroups
- metapuff
- · Replies 6 ·
Undergrad Why sum over i instead of j in linear operator notation
- "Don't panic!"
- · Replies 8 ·
Graduate Is Associativity Key in Simplifying Multivector Products in Geometric Algebra?
- JonnyMaddox
- · Replies 3 ·
Graduate Eigenvalues and eigenvectors of a non-symmetric matrix?
- prajeesh
- · Replies 2 ·
Graduate Number of ways to select M cohyperplanar points in finite space
- Nick O
- · Replies 4 ·
Graduate Connection between SU(2) and SO(3)
- HomogenousCow
- · Replies 8 ·
Orthogonal idempotents and inclusion maps in End(M)
- Math Amateur
- · Replies 5 ·
Finding subgroups and their generators of cyclic group
- Ragnarok7
- · Replies 3 ·
Berrick and Keating 2.1.5: orthogonal idempotents in End(M)
- Math Amateur
- · Replies 18 ·
Undergrad Is this explanation of linear dependence correct?
- "Don't panic!"
- · Replies 15 ·
Matrix representation of endomorphisms of direct sum modules
- Math Amateur
- · Replies 7 ·
Exercise 1.1.11: bimodules and endomorphisms from Berrick and Keating
- Math Amateur
- · Replies 17 ·
Notation for vector coordinates in a given basis
- Evgeny.Makarov
- · Replies 1 ·
Ring homomorphism from R to End(M) with kernel Ann(M)
- Math Amateur
- · Replies 6 ·
Undergrad Mathematical Products: Geometric vs. Tensor
- mikeeey
- · Replies 2 ·
Graduate Is -(x^-1) = (-x)^-1 true for all nonzero x in any ring?
- 1MileCrash
- · Replies 20 ·
Similar Matrices and Change of Basis
- Math Amateur
- · Replies 2 ·
Isomorphism Between Hom_F (V,W) and M_nxn(F) - theory of vector spaces
- Math Amateur
- · Replies 8 ·
Undergrad I think I found a flaw in vector combination theory
- BreezyLeaf
- · Replies 4 ·
Percolation - Measure - Probability
- fsblajinha
- · Replies 1 ·
Bases of functions and Matrices with respect to the bases
- Kronos1
- · Replies 5 ·
Undergrad What does R₃ mean in linear algebra?
- abcdefhij
- · Replies 4 ·
Proving $M_n(R)/M_n(\alpha) \cong M_n(R/\alpha)$ for matrix rings
- Math Amateur
- · Replies 9 ·
Graduate Weighted Least Squares for coefficients
- divB
- · Replies 9 ·
Showing AU ⊆ U for K^n as a K[T]-module
- Math Amateur
- · Replies 3 ·
Inverse of adjoint - where is my mistake ?
- Yankel
- · Replies 3 ·
Graduate Random unit vector perpendicular to a given 3D vector
- Chandrasekhar
- · Replies 6 ·
Graduate How Does Hadlock Prove Every Polynomial of Degree n Has a Symmetric Group Sn?
- Ray
- · Replies 3 ·
Graduate Interpreting matrix U in SVD for word relationships
- member 428835
- · Replies 10 ·
Graduate Bases of vector spaces and change of basis
- "Don't panic!"
- · Replies 2 ·
Centre of matrix ring Mn(R) equals aI for a in Z(R)
- Math Amateur
- · Replies 2 ·
Lattice Isomorphism Theorem for Modules commuting with sums and intersections
- Math Amateur
- · Replies 3 ·
Proof of Fourth or Lattice Isomorphism Theorem for Modules
- Math Amateur
- · Replies 2 ·
Modules - Decomposibiity of abelian groups
- Math Amateur
- · Replies 4 ·
Graduate Trouble setting up to prove unique factorization
- lants
- · Replies 3 ·
Is Matrix A Invertible Given (AB)C Equals the Identity Matrix?
- Yankel
- · Replies 5 ·
System of linear equations, all possible outcomes
- Yankel
- · Replies 5 ·
K^n as a K[T]-module - Example 2.1.2
- Math Amateur
- · Replies 3 ·
Graduate How Is the Killing Metric Normalized for Compact Simple Groups?
- center o bass
- · Replies 2 ·
Graduate Finding Lie-Algebra Invariants -- an Explicit Procedure?
- lpetrich
- · Replies 1 ·
Graduate What is the connection between 2-forms, determinants, and cross products in R^3?
- JonnyMaddox
- · Replies 1 ·
Indecomposable modules - example from Berrick and Keating
- Math Amateur
- · Replies 4 ·
Find matrix representation with respect to the basis
- Kronos1
- · Replies 4 ·
Graduate Ring Theory Problems: Unity vs. Non-Unity
- gianeshwar
- · Replies 3 ·
Undergrad Decompose a Recipe into Its Constituent Ingredients
- Rocky9242
- · Replies 3 ·
Definition of Direct Product Using UMP - Including Infinite Case
- Math Amateur
- · Replies 18 ·
Undergrad Why Fields are Necessary for Linear Algebra
- timkuc
- · Replies 10 ·
Using the given basis of a vector to prove other basis
- Kronos1
- · Replies 1 ·
Graduate What is the adjoint of the d/dx operator?
- member 428835
- · Replies 10 ·
Undergrad Are Slack Variables Causing Infeasible Points in Simplex Method?
- liquidFuzz
- · Replies 10 ·
Graduate Converting an explicit series to a recursive form
- regina_lee
- · Replies 2 ·
Undergrad Fast tridiagonal matrix algorithm
- ShayanJ
- · Replies 2 ·