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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.
MHB The Category of Pointed Sets .... Awodey Example 1.8, Page 17 ....
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MHB Understanding Monoids as Categories: Awodey Section 1.4 Example 13
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MHB Why is \{ x_1, x_2, \ldots, x_{n-1}, x \} a basis for F in Proposition 4.3.14?
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MHB Monoids as Categories .... Awodey Section 1.4, Example 13 ....
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MHB Unstructured Sets and Monoid Morphisms in Category Theory
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MHB Universal Propeties in Category Theory .... Leinster Lemma 0.7 ....
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MHB What is the Equivalence Class for a Fixed Integer in Hurricane Lane's Aftermath?
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MHB 412.0.10 ok so going with dot product with 07312400508
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Undergrad Is this a good proof of Schur's Lemma?
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Undergrad About Arnold's ODE Book Notation
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MHB 412.0.6 Find all integers n for which this statement is true, modulo n.
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Undergrad Primitive Elements and Free Modules .... ....
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Vladimir I. Arnold ODE'S book, about action group
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MHB GCD of a and b: Proving $gcd(a',b')=1$
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MHB Understanding Bland's Proof of Proposition 4.3.14: Primitive Elements of Modules
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MHB Intersecon between a line and hypershere in R4 to RN
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Undergrad How to keep the components of a metric tensor constant?
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MHB Intersection between line and plane in R4-RN
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Undergrad Expanding a given vector into another orthonormal basis
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MHB Help Understanding Bland's Proposition 4.3.14 in Rings and Their Modules
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MHB What Vector Spans the Line Defined by These Two Equations?
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MHB Show that G is a subset of the symmetric group
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MHB Understanding Lemma 4.3.12 in Paul E. Bland's Book: "Rings and Their Modules"
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MHB Why Does d and 1 Being Associates Imply 1 is a GCD?
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MHB How Can One Show That a Given Example is Not a Submodule?
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MHB Finding the Rotation Matrix for 60 Degree Rotation around (1,1,1) Axis
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Graduate Forcing conditions in a solution of an under-determined system
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MHB Irreducible Elements and Maximal Ideals in Integral Domains ....
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MHB How to Find the GCD and LCD in Mathematics?
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MHB Another Question on Torsion Elements .... D&F Section 10.1, Exercise 8 ....
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MHB Join the MA104 College Algebra Forum at Lehman College
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MHB Is \( n! > 2^n \) for \( n \ge 4 \)?
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Undergrad Confused by this result for the tensor product of two vectors
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MHB Matrix solutions with variable coefficient
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Undergrad An Embarrassing Question about turning a ring into a module
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Undergrad Spivak's proof of Cauchy Schwarz
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Graduate Is the Injective Hull of an Irreducible Module in Group K?
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Undergrad Understanding Quotient Groups in Abstract Algebra
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Undergrad Property of Jacobian Determinant
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MHB La1.1.22 3 aug matrices for linear sys solution set is x_1=3,x_2=-2,x_3=-1
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Graduate Proving the Dual of Schanuel's Lemma
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Graduate Construct a unique simple submodule
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MHB What is a Quinary Vector and How is it Related to Matrices?
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Undergrad What Are the Symmetry Groups of GL(10, R) and Z?
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Undergrad Rotation of a point in R3 about the y-axis
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Undergrad Why Does the Proof Assume ##|x| = n## in Finite Cyclic Groups?
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Undergrad Is quintic only polynomial that needs to be proven imposs?
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Undergrad Using group action to prove a set is a subgroup
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MHB Why Is the Containment xR ⊆ x1R Proper in Lemma 4.3.10?
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MHB Two dimensional rotational Matrix
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MHB Why Does \( a_1 \mid b_1 b_2 \cdots b_n \) in Theorem 7.2.20?
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MHB Why Does p|aby' in Theorem 7.2.14?
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MHB Is there a formula that gives me the RREF of a matrix?
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MHB Equation of a plane determined by three or four points in R4
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MHB Why Does y ∈ xR Imply xR = yR in Theorem 3.2.19?
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MHB Solves Theorem 3.2.19 in Bland's Abstract Algebra
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MHB Prime and Maximal Ideals .... Bland -AA - Theorem 3.2.16 .... ....
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Graduate Number Line in Synthetic differential geometry
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MHB Maximal Ideal .... Bland - AA - Example 2, Section 3.2.12 .... ....
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Graduate Does an irreducible representation acting on operators imply....
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MHB Ring vs. Field: Comparing Two Common Sports Venues
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MHB Definition of a Euclidean Domain ....
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MHB Principal Ideal Domains .... ....
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Undergrad Vector that satisfies systems of equations simultaneously
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Undergrad Showing that inverse of an isomorphism is an isomorphism
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Undergrad Showing that every element in G can be written a certain way
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MHB Principal Ideal Rings and GCDs .... .... Bland Proposition 4.3.3
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Undergrad Ways of writing a logical argument
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Undergrad Showing that AxB is isomorphic to BxA
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MHB Jordan-Holder Theorem for Modules .... .... Another Two Questions ....
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MHB Jordan-Holder Theorem for Modules .... ....
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MHB Composition Series and Noetherian and Artinian Modules ....
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Undergrad Showing that two groups are not isomorphic question
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Undergrad Show that commutativity is a structural property
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Undergrad Complete sets and complete spaces
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Undergrad Order of a permutation is the lcm of the orders of cycles
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Undergrad Given order for every element in a symmetric group
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Undergrad Prove that elements of x^i 0<i<n-1 are distinct
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Undergrad Why choose traceless matrices as basis?
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Undergrad Can You Determine the Order of (a,b) in A x B?
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Undergrad Prove that x and x^-1 have same order
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Undergrad Showing that a binary operation is well-defined
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Undergrad How can we use induction to prove the generalized associative law?
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Undergrad What is orientation or shear transform collectively termed?
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Graduate Getting new irreducible representations from old ones
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Undergrad A little problem about quotient modules
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MHB How Does Corollary 4.2.6 Prove M is Noetherian?
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MHB Generation of Modules .... Dummit and Foote, Section 10.3 .... ....
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Undergrad Real function inner product space
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Undergrad Rings, Modules and the Lie Bracket
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Undergrad How Does Zero Characteristic Influence the Structure of Prime Subfields?
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Undergrad Zero divisors of an endomorphism ring
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MHB Homomorphic Images of Free Modules .... Bland, Proposition 2.2.6 .... ....
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MHB Understanding Bland's Proposition 4.2.10 in Rings and Modules
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MHB Finite Sum of Indecomposable Modules .... Bland, Proposition 4.2.10 .... ....
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Undergrad Is perspective a homothetic transformation?
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MHB Noetherian Modules: Direct Sums & Bland Proposition 4.2.7
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Undergrad A question I have about my L.A. textbook (2)
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MHB How to Prove Corollary 4.2.8 in Noetherian Rings?
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Undergrad Submodules and Factor Modules of a Noetherian Module ....
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