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 Right annihilator of R/m in Bland's Jacobson radical proof
- Math Amateur
- · Replies 3 ·
Undergrad Did Artin make a mistake regarding isomorphisms?
- JonnyG
- · Replies 8 ·
Undergrad Solving a system of equation with matrices
- Mr Davis 97
- · Replies 4 ·
Undergrad Why is a simple R-module isomorphic to R/𝔪 for some maximal ideal 𝔪?
- Math Amateur
- · Replies 6 ·
Undergrad Proving that the intersection of right annihilators is contained in the Jacobson radical
- Math Amateur
- · Replies 1 ·
Why does ann_r(S) intersection imply J(R) in Bland 6.1.7?
- Math Amateur
- · Replies 1 ·
Undergrad Prove that V is the internal direct sum of two subspaces
- Austin Chang
- · Replies 7 ·
Undergrad How can I find the orthogonal matrix that diagonalises a given matrix?
- spaghetti3451
- · Replies 22 ·
Undergrad What is the concept of tensor product and how is it used in mathematics?
- fog37
- · Replies 5 ·
Undergrad Understanding Vector Spaces with functions
- Austin Chang
- · Replies 24 ·
Which is the linear system of equations?
- mathmari
- · Replies 10 ·
Graduate Isomorphism concepts,( example periods elliptic functions )
- binbagsss
- · Replies 8 ·
Graduate Can Hermitian Matrices be Traceless?
- SgrA*
- · Replies 7 ·
Proof of Bland's Example 13: Simple Modules and Quotients of Maximal Modules
- Math Amateur
- · Replies 4 ·
Undergrad Simple Modules and quotients of maximal modules, Bland Ex 13
- Math Amateur
- · Replies 3 ·
Undergrad Kronecker product recovering the initial representation?
- arivero
- · Replies 1 ·
Undergrad DIfference between vectors and relations of points
- Mr Davis 97
- · Replies 10 ·
Undergrad Matrices and linear transformations. Where did I go wrong?
- davidge
- · Replies 2 ·
Undergrad Vector Space: Scalar Restriction in ℤ2
- Austin Chang
- · Replies 2 ·
Finding determinants of three matrices including parametric and all-ones cases
- mathmari
- · Replies 5 ·
High School Why does a rectangle have only two reflection symmetries?
- LagrangeEuler
- · Replies 8 ·
Undergrad Existence of spanning set for every vector space
- Mr Davis 97
- · Replies 5 ·
Undergrad Commutative diagrams and equality of composition
- Mr Davis 97
- · Replies 1 ·
Proving Equivalence of Statements Involving Endomorphisms - Can We Take $v=x$?
- mathmari
- · Replies 10 ·
Is the transformation matrix of $\Phi$ in relation to $B$ correct?
- mathmari
- · Replies 7 ·
Graduate Is Group Operation in (G,*) Considered Composition in Mathematics?
- LagrangeEuler
- · Replies 5 ·
Undergrad Is a symmetric matrix with positive eigenvalues always real?
- TeethWhitener
- · Replies 8 ·
Undergrad Some questions about linear transformation
- Eus
- · Replies 1 ·
Undergrad Terminology for Substructures in Vector Spaces
- Mr Davis 97
- · Replies 2 ·
Undergrad Are Splitting Fields Unique for Different Polynomial Families?
- PsychonautQQ
- · Replies 1 ·
Undergrad Jacobson Radical and Direct Sums - Bland, Proposition 6.1.4
- Math Amateur
- · Replies 3 ·
Jacobson radical and canonical injections in direct sums
- Math Amateur
- · Replies 4 ·
Does \(B\) Span Algebraically \(E\) Over \(F\)?
- mathmari
- · Replies 1 ·
Exponent of Group Hey! :o - Answers to Questions
- mathmari
- · Replies 16 ·
Undergrad Is the trace of a matrix independent of basis?
- Trixie Mattel
- · Replies 3 ·
It is an algebraically dependent set over F
- mathmari
- · Replies 4 ·
Undergrad What is a separable vector space?
- fog37
- · Replies 9 ·
Field extensions and Galois goup
- mathmari
- · Replies 2 ·
Diagonalizable Matrix: How to Approach?
- Yankel
- · Replies 4 ·
Undergrad Definition of discrete Subgroup quick q
- binbagsss
- · Replies 10 ·
Is $\Phi|_{U_2}$ a Vector Space Isomorphism?
- mathmari
- · Replies 1 ·
Injective linear mapping - image
- mathmari
- · Replies 2 ·
Undergrad Proving an inverse of a groupoid is unique
- Matejxx1
- · Replies 4 ·
Graduate Real parameters and imaginary generators
- Heisenberg1993
- · Replies 3 ·
Undergrad Using determinant to find constraints on equation
- TheDemx27
- · Replies 4 ·
Undergrad Basis of a Subspace of a Vector Space
- fog37
- · Replies 8 ·
Undergrad Linear algebra ( symmetric matrix)
- Vijay Raghavan
- · Replies 2 ·
Graduate Question regarding root of Bring quintic not expressible with radicals
- Buzz Bloom
- · Replies 37 ·
Solving Linear Mapping Problems with Matrix $M$ in $\mathbb K^2$
- mathmari
- · Replies 10 ·
Pointwise and uniform convergence
- mathmari
- · Replies 5 ·
Finding A⁻¹ from A³ - 2A² + I = 0
- Yankel
- · Replies 3 ·
Why Does the Matrix Calculation Not Match Expected Results in Linear Mapping?
- Mathick
- · Replies 1 ·
What is the Intuition Behind Integral Over in Commutative Algebra?
- A.Magnus
- · Replies 2 ·
How do I draw the contour line and gradient of a function at a specific point?
- mathmari
- · Replies 8 ·
Undergrad Why is J(R) ≠ R when R is generated by 1?
- Math Amateur
- · Replies 10 ·
How Can We Prove the Inequality of Rank Matrices?
- mathmari
- · Replies 8 ·
Graduate How do I supply arpack drivers with all starting vectors?
- Jimmy and Bimmy
- · Replies 1 ·
Graduate Justify matrices form basis for SO(4)
- OhNoYaDidn't
- · Replies 5 ·
Undergrad Eistenstein series E_k(t=0) quick q? Modular forms
- binbagsss
- · Replies 1 ·
Why J(R) ≠ R in Bland's Corollary 6.1.3 on the Jacobson radical
- Math Amateur
- · Replies 7 ·
Determining a determinant using recurrence relations
- karseme
- · Replies 1 ·
Undergrad Congruence Subgroups and Modular Forms Concept Questions
- binbagsss
- · Replies 1 ·
How can we prove that E/Q is a normal extension?
- mathmari
- · Replies 1 ·
Why show upper bounds exist in Zorn's Lemma application to Proposition 6.1.2
- Math Amateur
- · Replies 2 ·
Why are roots of multiplicity 2 considered for polynomial separability?
- mathmari
- · Replies 10 ·
Graduate Representation number via quad forms of theta quadratic form
- binbagsss
- · Replies 6 ·
Graduate Applying group theory to multivariate eqs
- Stephen Tashi
- · Replies 4 ·
Showing that P_3 is a subspace to P_n
- cbarker1
- · Replies 6 ·
Eisenstein polynomial and field extension
- mathmari
- · Replies 24 ·
Is t Algebraic Over F(S) in Field Extension E/F?
- mathmari
- · Replies 5 ·
Inductive definition of modulo multiplication in ℤₖ
- mathmari
- · Replies 3 ·
Undergrad Can we retrieve the inverse of matrix A in this example?
- Adel Makram
- · Replies 14 ·
Graduate Matrix Lie groups and its Lie Algebra
- Xico Sim
- · Replies 7 ·
Undergrad Why does f((τ+1+j)/p) = f((τ+j)/p) for modular forms?
- binbagsss
- · Replies 1 ·
Undergrad Multiplying a vector by a complex number
- topito2
- · Replies 8 ·
Undergrad Geometric Algebra formulation of Quantum Mechanics
- Milsomonk
- · Replies 6 ·
Why does this hold when we have the zero matrix?
- mathmari
- · Replies 7 ·
Undergrad Show that you can find d and b s.t pd-bq=1 , p and q are coprime- GCF
- binbagsss
- · Replies 4 ·
Can You Successfully Factorize x^2+y^2+z^2-2xy-2yz-2zx?
- anemone
- · Replies 2 ·
High School Factoring trick by determining a zero value
- CynicusRex
- · Replies 2 ·
Undergrad Automorphisms of Central Simple Algebras/Bresar Example 1.27
- Math Amateur
- · Replies 2 ·
Determining Basis and Dimension for Vector Subspaces $U_1$ and $U_2$
- mathmari
- · Replies 5 ·
Insights Representations and Why Precision is Important
- fresh_42
- · Replies 2 ·
How to Extend These Vectors to a Basis in $\mathbb{R}^4$?
- mathmari
- · Replies 4 ·
Determine the vectors of components
- mathmari
- · Replies 1 ·
Graduate Using Cayley-Hamilton Theorem to Calculate Matrix Powers
- AcidRainLiTE
- · Replies 1 ·
Solve Vector Space Question: Get the Solution Now
- LearnerJr
- · Replies 3 ·
How to Quickly Find the Rank of a 4 x 6 Matrix Using Column Operations
- A.Magnus
- · Replies 2 ·
Find the General Expression for a Linear Transformation
- Leanna
- · Replies 4 ·
Undergrad Bresar lemma 1.25: why does dimension inequality imply equality
- Math Amateur
- · Replies 11 ·
Undergrad Calculating the Area of an Apollonian Gasket: A Formula for n Layers
- caters
- · Replies 7 ·
Inner automorphisms of commutative rings in Bresar 1.27
- Math Amateur
- · Replies 3 ·
Bresar Lemma 1.25 on left and right multiplication maps
- Math Amateur
- · Replies 2 ·
No prefix added: How do I find a basis of a $\mathbb{R}$-vector space?
- mathmari
- · Replies 14 ·
Undergrad Lemma 1.24 on multiplication maps in central simple algebras
- Math Amateur
- · Replies 2 ·
Are $V_1$ and $V_2$ Vector Spaces According to Defined Properties?
- mathmari
- · Replies 14 ·
Undergrad Prove the sequence is exact: 0 → ker(f) → V → im(f) → 0
- Apothem
- · Replies 1 ·
Undergrad Lemma 1.24 proof on left/right multiplication maps in Bresar
- Math Amateur
- · Replies 2 ·
Why does cA = A imply c is invertible in simple unital rings?
- Math Amateur
- · Replies 2 ·
Undergrad Wedge product of basis vectors
- Kevin McHugh
- · Replies 4 ·