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 Why the need for Lagrange's Theorem?
- Spartan Math
- · Replies 6 ·
Undergrad Solving Group G Show: Very Important!
- hashimcom
- · Replies 9 ·
Undergrad Solution for Polynomial Degree 7: x2=k2-k2x7/2
- chhitiz
- · Replies 2 ·
Graduate Show G(p) of Order p^t when G is an Abelian Group of Order (p^t)m
- Thorn
- · Replies 5 ·
Graduate Quotienting is a generalisation of division
- tgt
- · Replies 1 ·
Undergrad Finding x values for no, one, or infinite solutions in a system
- rhuelu
- · Replies 2 ·
Graduate Linear Transformations and Dual Vectors: Understanding Matrix Representations
- mhazelm
- · Replies 4 ·
Graduate Existence of Singer Cycle in GL(n,q)
- the_fox
- · Replies 13 ·
Graduate Characteristic polynomial splits into linear factors
- Hello Kitty
- · Replies 1 ·
Undergrad Addition table for Z2 ⊕ Z2 and proving when a² = e implies abelian group
- hashimcom
- · Replies 15 ·
Undergrad Proving A and B Finite Sets: Injectivity and Surjectivity of f:A->B
- algonewbee
- · Replies 1 ·
Graduate Are There Really TWO New Mersenne Primes Bigger Than 10M Digits?
- CRGreathouse
- · Replies 3 ·
Graduate Is the Is Reachable From Relation an Equivalence Relation in Directed Graphs?
- algonewbee
- · Replies 1 ·
Graduate Is a Full Binary Tree's Internal Path Length Equal to Its External Path Length?
- algonewbee
- · Replies 1 ·
Graduate Normal subgroups and Abelian property
- soumyashant
- · Replies 3 ·
Undergrad Why does the cross product of vectors in meters give square meters?
- ManDay
- · Replies 1 ·
Graduate Prove that if h is in H, then also h^-1
- sutupidmath
- · Replies 3 ·
Undergrad How Do You Calculate the Probability of a Rat Being in Room 4 After Two Moves?
- JeffNYC
- · Replies 2 ·
High School The vector resolute.Why doesn't it cancel out?
- sameeralord
- · Replies 2 ·
High School What is the Expression for the Difference of Two Square Numbers?
- chhitiz
- · Replies 7 ·
Undergrad Finding a fourth-degree polynomial through five given points
- cougarsoccer
- · Replies 2 ·
Graduate Name of Norm-preserving Linear Transformations?
- Tac-Tics
- · Replies 2 ·
High School Is there any general formula for strings?
- Physicsissuef
- · Replies 12 ·
Graduate Proving the Primality of a Polynomial over Finite Fields
- Hello Kitty
- · Replies 1 ·
Graduate Is Partial Trace Cyclic for Density Matrices in Quantum Systems?
- jenga42
- · Replies 3 ·
Graduate Elements of Subgroups in Additive Group Q/Z: G(2) and G(P)
- Thorn
- · Replies 1 ·
Undergrad Is there a pattern to the values of k for which 10^k+1 is divisible by a square?
- Pere Callahan
- · Replies 27 ·
Undergrad Binomial theorum, when k is a multiple of x
- googlymunja32
- · Replies 3 ·
Graduate Seeking a Proof of Incommensurability
- e2m2a
- · Replies 9 ·
Undergrad # of different binary ops. on a set S
- Unassuming
- · Replies 1 ·
Graduate Finding order of elements in groups like U(15) and for matrices
- dlin3
- · Replies 2 ·
Graduate Is my method for finding the dual in Dirac notation correct?
- Tac-Tics
- · Replies 2 ·
Undergrad A number of 10 digits is build up in the following way
- dirk_mec1
- · Replies 6 ·
Undergrad Why do we need generalized eigenvectors for matrices with repeated eigenvalues?
- daviddoria
- · Replies 10 ·
Graduate Proving Incommensurability in Number Theory with a Graph
- e2m2a
- · Replies 1 ·
Undergrad What are the real-world applications of linear algebra?
- Stevecgz
- · Replies 39 ·
Graduate Proving Projective Modules Have Free Modules as Direct Sums
- peteryellow
- · Replies 3 ·
Graduate Primality proving for 'near-powers'
- CRGreathouse
- · Replies 4 ·
Graduate A question of fully invariant subgroup
- rulin
- · Replies 3 ·
Graduate Spivak problem: compact set between compact and open sets
- krcmd1
- · Replies 18 ·
Graduate Is A Skew Symmetric?
- TTob
- · Replies 5 ·
Graduate Basic Group Theory: Proof <A,B>n<C>=<AuBnC>
- tgt
- · Replies 5 ·
Graduate How do you evaluate ζ(c + xi) for 0 ≤ c < 1?
- epkid08
- · Replies 12 ·
Graduate What are directional losses in eigenvalue problems?
- jason.bourne
- · Replies 3 ·
Graduate Unsigned Stirling numbers of the first kind
- dodo
- · Replies 2 ·
Undergrad Is n^2 congruent to 0 or 1 (mod 3) for any integer n?
- phyguy321
- · Replies 3 ·
Undergrad Derivation of nth fibonacci term
- soandos
- · Replies 11 ·
Graduate Weak form of Dirichlet's theorem
- mikepol
- · Replies 12 ·
Graduate Does least squares regularization have to be iterative?
- SirTristan
- · Replies 2 ·
Graduate Converting a 4x4 transformation matrix from 3D Studio Max to OpenGL coordinates
- AdrianM
- · Replies 3 ·
Where Does Group Theory Belong on Physics Forums?
- Luris
- · Replies 2 ·
Graduate Proving Z_qp = Z_q × Z_p for distinct primes q and p
- Luris
- · Replies 1 ·
Graduate Solving U, V, W Subspaces Problem
- mivanova
- · Replies 4 ·
Undergrad Simultaneous Equation with 4 variables, can it be don?
- dan_fmx
- · Replies 9 ·
Graduate Is x^{\sqrt{5}}=y for Rational Numbers?
- Gerenuk
- · Replies 1 ·
Graduate Understanding Strongly Nilpotent Elements
- peteryellow
- · Replies 1 ·
Graduate A simple domain not being skew field?
- peteryellow
- · Replies 3 ·
Graduate Herstein, Topics in Algebra, page 58
- Jimmy Snyder
- · Replies 6 ·
Graduate Simple R-modules, Jacobson radical, and ideals in End_F V
- peteryellow
- · Replies 1 ·
Graduate Is it Possible to Embed F/R into F without Complementation?
- tgt
- · Replies 4 ·
Undergrad An inquiry into whether or not 1000009 is a prime number
- Count Iblis
- · Replies 3 ·
Graduate Is Z[T]/(T^3) a Field Due to T^3's Irreducibility?
- peteryellow
- · Replies 8 ·
Undergrad Proving no integers x, y satisfy x^2-y^2=34
- sutupidmath
- · Replies 3 ·
Graduate Three corollaries to a well-known theorem
- snipez90
- · Replies 2 ·
Graduate Rank of a Matrix: Can We Eliminate Lines to Get Non-Vanishing Determinant?
- quasar987
- · Replies 3 ·
Undergrad What Is the Difference Between Isomorphisms and Homomorphisms?
- johnnyboy2005
- · Replies 11 ·
Undergrad Do A/<b(x)> and A/<c(x)> have the same number of elements?
- bigreddog
- · Replies 1 ·
Graduate Isomorphic groups that have different properties?
- tgt
- · Replies 3 ·
Undergrad Is it possible to find function that describes irrational things?
- epkid08
- · Replies 20 ·
Graduate Irreducible polynomials over finite fields
- gonzo
- · Replies 15 ·
Undergrad Finding Roots of Irreducible Polynomials in Z5
- Niall101
- · Replies 2 ·
Undergrad Determinate of a Matrix of any (square) order
- sciwizeh
- · Replies 2 ·
Graduate Integers reachable by ax + by + 30xy
- mahch
- · Replies 2 ·
Graduate Eigenvalue question, hermitian matrix
- thedean515
- · Replies 6 ·
Graduate Finding the Number of Primitive Polynomials in Finite Fields
- the_fox
- · Replies 25 ·
Undergrad Suggest any titles that i could research?
- sara_87
- · Replies 6 ·
Graduate Spreading vectors around an area
- wbrigg
- · Replies 5 ·
Graduate Escaping local minima when using trust-region Newton and quasi-Newton methods
- ggyyree
- · Replies 1 ·
Graduate Is the Solution for Problem 2 on the Algebra Qualifier Exam Correct?
- mrbohn1
- · Replies 1 ·
Graduate Proving Polynomial Properties: Existence of nxn Matrix in Field k
- DeadWolfe
- · Replies 3 ·
Graduate Primitive 5th root of unity extension
- mrbohn1
- · Replies 2 ·
Graduate Why a = ae and e = xa when Ae = Aa
- peteryellow
- · Replies 11 ·
Graduate Z_4 is not a Semisimple Z-Module of Finite Length: Explanation and Example
- peteryellow
- · Replies 1 ·
Graduate Proving Artinian of Commutative Noetherian Rings with Maximal Primes
- peteryellow
- · Replies 4 ·
Graduate Proving I1*I2 is an Ideal in Commutative Ring R
- Chen
- · Replies 9 ·
Undergrad Ker(phi) = {0}, then phi injective?
- ctrlaltdelete
- · Replies 1 ·
Undergrad IS f(x)= x^4 + x^3 -x^2 - 2x -2 irreducable over Q?
- Niall101
- · Replies 9 ·
Graduate The converse and proving whether or not the converse holds
- googlymunja32
- · Replies 1 ·
Undergrad What Does the Equation || (x,y,z)T ||2 Represent in 3D Graphics?
- otis
- · Replies 1 ·
Graduate Summation involving von Mangoldt function
- mathslover
- · Replies 9 ·
Undergrad Prove (n^5 - n) is divisible by 5 by induction
- Fizza
- · Replies 6 ·
High School Can Computers Generate Random Numbers?
- flotsam
- · Replies 2 ·
Graduate My definition of an artianian module is : A module is artinian if
- peteryellow
- · Replies 3 ·
Graduate Proof of eAe as Division Ring when Ae is a Minimal Left Ideal
- peteryellow
- · Replies 3 ·
Graduate Why does finite generation of a semisimple module imply finitely many summands?
- peteryellow
- · Replies 10 ·
Graduate Natural isomorphism of Left adjoints
- dmuthuk
- · Replies 2 ·
Graduate Can a Conjecture Be Proved Empirically?
- mhill
- · Replies 3 ·
Graduate Why is the sum U + W = {(x, y, 0)} not {(x+y, y, 0)}?
- airpocket
- · Replies 2 ·
Graduate Categorical extension of Cayley's Theorem
- Singularity
- · Replies 3 ·
High School Solve Matrix without Calculator: Find Values of X
- jjuugg
- · Replies 1 ·