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.
Threads
Undergrad Is the Cauchy stress tensor really a tensor?
- Philip Wood
- · Replies 11 ·
Graduate Finding dual optimum of a linear problem
- Trollfaz
- · Replies 1 ·
Undergrad Uniform convergence and pointwise convergence
- chwala
- · Replies 24 ·
Undergrad Why are these cycles disjoint and of equal length?
- Hill
- · Replies 2 ·
Undergrad Looking for a paper about spinors
- grzz
- · Replies 3 ·
Undergrad Matrix representation of rank-2 spinors
- grzz
- · Replies 2 ·
Undergrad Spinor calculus
- grzz
- · Replies 2 ·
Undergrad The vector to which a dual vector corresponds
- nomadreid
- · Replies 13 ·
On the Moore–Penrose inverse from a banal linear algebra viewpoint
- wrobel
- · Replies 0 ·
Undergrad 2 interpretations of bra-ket expression: equal, & isomorphic, but...
- nomadreid
- · Replies 10 ·
Undergrad A typo in the proof of group homomorphism of pairs?
- Hill
- · Replies 1 ·
Graduate Confusion about the Moyal-Weyl twist
- gasgas
- · Replies 4 ·
Undergrad How to define a vector field?
- Mike_bb
- · Replies 23 ·
Undergrad Erroneously finding discrepancy in transpose rule
- nomadreid
- · Replies 13 ·
Graduate The colorful world of ##2\times 2## complex matrices
- mma
- · Replies 22 ·
Undergrad About the existence of Hamel basis for vector spaces
- cianfa72
- · Replies 32 ·
Undergrad When are Markov Matrices also Martingales?
- WWGD
- · Replies 5 ·
Undergrad Derivation of equations of stress tensor transformation
- Mike_bb
- · Replies 2 ·
Undergrad Non-orthogonal bases
- geordief
- · Replies 12 ·
Undergrad Determine whether ##125## is a unit in ##\mathbb{Z_471}##
- chwala
- · Replies 3 ·
Undergrad Trouble understanding an online solution to an exercise in Dummit & Foote
- elias001
- · Replies 21 ·
Undergrad Trouble with a passage in Zariski & Samuel's Commutative algebra text
- elias001
- · Replies 5 ·
Undergrad Determining isomorphism for ##\frac{R}{(a, b)}##
- elias001
- · Replies 4 ·
Undergrad Differences between left vs right actions in some group theory questions
- elias001
- · Replies 1 ·
Graduate Decomposition into irreps of compact Lie group
- Orodruin
- · Replies 4 ·
Undergrad Questions about non existence of GCDs vs (coimages, cokernels)
- elias001
- · Replies 12 ·
Undergrad Question about "A Group Epimorphism is Surjective"
- elias001
- · Replies 13 ·
Undergrad Localising a non integral domain at a prime
- elias001
- · Replies 17 ·
Undergrad ##(A/\mathfrak{a})_{\mathfrak{p}/\mathfrak{a}}## and its isomorphism?
- elias001
- · Replies 31 ·
Undergrad Meaning of ##\coprod_{x\in\mathrm{Spec}R}R/\mathfrak{p}_x##
- elias001
- · Replies 11 ·
Insights Groups, The Path from a Simple Concept to Mysterious Results
- fresh_42
- · Replies 17 ·
Undergrad Can one find a matrix that's 'unique' to a collection of eigenvectors?
- Sciencemaster
- · Replies 33 ·
Undergrad Dfns group action & group, written in terms of the other
- elias001
- · Replies 26 ·
Undergrad Clarifications needed for an exercise in Hungerford's abstract algebra
- elias001
- · Replies 23 ·
Graduate Have I solved this iterative equation correctly?
- Tygra
- · Replies 2 ·
Undergrad Equivalent definitons for primitive polynomials
- elias001
- · Replies 24 ·
Undergrad Showing ##k[x_1,\ldots,x_n]/\mathfrak{a}## is finite dimensional
- elias001
- · Replies 40 ·
Undergrad How to show ##p(x)=g(x)x\pm 1\in\Bbb{Q}[x]## is irreducible in ##\Bbb{Q}_{\Bbb{Z}}[x]##?
- elias001
- · Replies 48 ·
Undergrad Localizing single variable quotient polynomial ring at a prime ideal
- elias001
- · Replies 6 ·
Undergrad Make a list of all irreducible polynomials of degrees 1 to 5 over F2
- Hill
- · Replies 4 ·
Undergrad ##S_{n}(\alpha)=\sum_{k=1}^{n} (-1)^{\lfloor{k\alpha\rfloor}}##
- elias001
- · Replies 2 ·
Undergrad Meaning of the notations: ##\mathbb{Z}[\frac{1}{a}]##
- elias001
- · Replies 1 ·
Undergrad How do we distinguish two different notations for cokernel and coimage?
- elias001
- · Replies 41 ·
Graduate linear programming, polyhedron and extreme points
- mertcan
- · Replies 3 ·
Undergrad Definition of minimal ideal using symbolic logic notation
- elias001
- · Replies 3 ·
Undergrad Meaning of "identify" & variations in different math context
- elias001
- · Replies 5 ·
Undergrad Meaning of "passage to the quotient"?
- elias001
- · Replies 3 ·
Undergrad Correct constructed example of Abelian Monoid?
- elias001
- · Replies 0 ·
Undergrad Notation questions about kernel, cokernel, image and coimage
- elias001
- · Replies 7 ·
Undergrad Proof of ##\cap_{i\in \cup F}A_i=\cap_{x\in F}(\cap_{i\in X}A_i)##?
- elias001
- · Replies 3 ·
Undergrad Correct state row entries in the following Sequential machine?
- elias001
- · Replies 0 ·
Undergrad A true or false statement concerning condition number of a matrix
- psie
- · Replies 2 ·
Undergrad Proving inequality about dimension of quotient vector spaces
- elias001
- · Replies 25 ·
Graduate Displacement-Rotation Algorithm
- Muhammad
- · Replies 2 ·
Undergrad Symbol for matrix representative of a tensor
- doktorglas
- · Replies 5 ·
Graduate Near-Rings with Noncommutative Addition and Two-Sided Distributivity
- lpetrich
- · Replies 4 ·
Undergrad Proof by induction of block diagonal decomposition of a matrix
- psie
- · Replies 4 ·
High School Higher Dimensional Vectors
- Hornbein
- · Replies 5 ·
High School The Relationship Between Function and Ordering Relation
- littlemathquark
- · Replies 8 ·
Undergrad How does this binomial expand?
- lioric
- · Replies 19 ·
Undergrad Solving matrix commutator equations?
- Filip Larsen
- · Replies 7 ·
Undergrad Wronskian: null space equals the span of independent functions
- psie
- · Replies 23 ·
Undergrad Uniqueness of reduced row echelon form (proof verification)
- psie
- · Replies 4 ·
Graduate Question about ##FG## modules
- MathLearner123
- · Replies 14 ·
Insights Why Vector Spaces Explain The World: A Historical Perspective
- fresh_42
- · Replies 0 ·
Undergrad ##\mathbb{C}\oplus\mathbb{C}\cong\mathbb{C}\otimes\mathbb{C}##
- Korybut
- · Replies 14 ·
Undergrad Confused about small detail in rank-nullity theorem
- psie
- · Replies 1 ·
Undergrad Characterizing linear independence in terms of span
- psie
- · Replies 3 ·
Undergrad bra-ket with adjoints identity
- nomadreid
- · Replies 3 ·
Undergrad Matrix rank in terms of determinant polynomial
- mupe03
- · Replies 14 ·
Graduate Deduce that the spectrum of a local ring is always connected
- mad mathematician
- · Replies 2 ·
Graduate Lectures by Richard Borcherds
- martinbn
- · Replies 4 ·
High School When are two vectors collinear and coplanar?
- PLAGUE
- · Replies 10 ·
Undergrad Quintic Polynomial Tschirnhaus Transform: Possible complex Bring Radicals
- Hardy
- · Replies 0 ·
Undergrad Use of induction in the proof of the Chinese Remainder Theorem
- Hill
- · Replies 7 ·
Undergrad Orthogonal transformations preserve length
- lys04
- · Replies 1 ·
Undergrad "Easy example" of transcendental numbers
- Hill
- · Replies 9 ·
Undergrad Mapping tensor products into a Clifford algebra
- jv07cs
- · Replies 7 ·
Undergrad Composite quantum systems: Kronecker and Hadamard/Schur products
- Dr_Nate
- · Replies 2 ·
Undergrad Use of Laplacian operator in Operations Research Book
- hotvette
- · Replies 6 ·
Undergrad Index notation of vector rotation
- shinobi20
- · Replies 7 ·
Graduate A part in a solution for exercise 1.24 from Atiyah-MacDonald
- mad mathematician
- · Replies 2 ·
Undergrad Jacobi matrix diagonalization problems
- Spathi
- · Replies 5 ·
High School Subspaces of Functions- definition
- sonnichs
- · Replies 8 ·
Undergrad What does V^G mean in linear algebra?
- cask1
- · Replies 3 ·
Undergrad Seeking an intuition linking definitions of contravariant and covariant
- nomadreid
- · Replies 1 ·
Undergrad Understanding the ##ε## as used in limits of sequences
- chwala
- · Replies 2 ·
Undergrad Generators of translations
- redtree
- · Replies 0 ·
Undergrad Did I figure-out z-translation of 2D-coordinates correctly?
- william_
- · Replies 4 ·
Undergrad Fundamental theorem of arithmetic from Jordan-Hölder theorem
- eoghan
- · Replies 5 ·
Undergrad The Lie algebra of ##\frak{so}(3)## without complexification
- redtree
- · Replies 2 ·
Undergrad Applying change of basis to vector b_1 doesn't give b'_1?
- giraffe714
- · Replies 8 ·
Graduate What Is the Role of 'n' and the Virgule in the Wedge Product Formalism?
- Bill_1
- · Replies 3 ·
Undergrad Calculating Pitch and Roll Relative to a Velocity Vector from IMU Data
- FGD
- · Replies 5 ·
Undergrad Is a 1x1 Matrix Considered a Scalar in Mathematics?
- laser1
- · Replies 12 ·
Graduate Scalars, Vectors, Matrices,Tensors, Holors....
- billtodd
- · Replies 8 ·
Undergrad Convergence and divergence of series and sequences
- chwala
- · Replies 7 ·
Undergrad In 4x4 matrix when does row swapping not affect eigenvaluess?
- NotEuler
- · Replies 6 ·
Graduate The meaning of ##(ict, x_1,x_2,x_3)##
- mma
- · Replies 4 ·
Graduate Hidden symmetries in subgroups of Lie groups?
- arivero
- · Replies 1 ·