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15
Math.TechQA.Club
2026-03-22 06:35:16
161
Views
How is the given set a basis for $K$?
Published on
22 Mar 2026 - 6:35
#commutative-algebra
#modules
#principal-ideal-domains
35
Views
To determine the number submodules of $\mathbb{Z}_6 \times \mathbb{Z}_6$ as a $\mathbb{Z}_{12}$-module.
Published on
09 Apr 2018 - 9:39
#modules
85
Views
$ R \cong R s $ as rings if and only if $ s $ is invertible
Published on
26 Mar 2026 - 1:31
#abstract-algebra
#ring-theory
#modules
#ring-isomorphism
1.1k
Views
Maximal linearly independent subsets in module over a domain has the same number of elements.
Published on
10 Apr 2018 - 13:44
#abstract-algebra
#ring-theory
#commutative-algebra
#modules
54
Views
Idempotents: $e$ a primitive and $f$ an arbitrary idempotent, then $\dim eA\mid\dim\ fA$?
Published on
25 Mar 2026 - 3:01
#abstract-algebra
#ring-theory
#modules
#noncommutative-algebra
144
Views
Relating the dimension of simple modules to their multiplicities.
Published on
26 Mar 2026 - 6:21
#modules
#representation-theory
229
Views
Rank of module over ID
Published on
24 Mar 2026 - 20:47
#abstract-algebra
#solution-verification
#modules
#tensor-products
98
Views
Computing Tensor products of modules
Published on
10 Apr 2018 - 19:24
#linear-algebra
#abstract-algebra
#ring-theory
#modules
#tensor-products
580
Views
$M$ is a cyclic module if and only if it has a single invariant factor
Published on
25 Mar 2026 - 6:19
#abstract-algebra
#modules
#cyclic-groups
#finitely-generated
42
Views
Composition series of regular module
Published on
25 Mar 2026 - 8:18
#modules
#idempotents
256
Views
Tensor product that is not $0$
Published on
11 Apr 2018 - 14:48
#abstract-algebra
#commutative-algebra
#modules
#tensor-products
150
Views
Determine whether or not the modules over $R=\mathbb{C}[x,y]$ presented by the following matrices are free
Published on
11 Apr 2018 - 15:39
#abstract-algebra
#matrices
#polynomials
#ring-theory
#modules
1.1k
Views
If $\varphi: R^m \to R^n$ is an surjective module homomorphism, show $n \leq m$.
Published on
25 Mar 2026 - 11:14
#abstract-algebra
#ring-theory
#modules
#group-homomorphism
524
Views
Prove $V$ is a cyclic $F[A]$ module $\iff$ it has the same characteristic and minimal polynomials
Published on
12 Apr 2018 - 1:38
#linear-algebra
#abstract-algebra
#matrices
#modules
#minimal-polynomials
276
Views
Prove that $V$ is not a free module.
Published on
25 Mar 2026 - 1:21
#abstract-algebra
#matrices
#ring-theory
#modules
#integral-domain
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