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15
Math.TechQA.Club
2026-04-12 22:26:47
31
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Figuring out what $G/H$ looks like if $G=D_3$ and $H=\{R_0,R_{120},R_{240}\}$
Published on
12 Apr 2026 - 22:26
#abstract-algebra
#group-theory
85
Views
How do I verify if $\phi : \mathbb{Z}_{6} \rightarrow \mathbb{Z}_{36}$ is well-defined?
Published on
11 Apr 2026 - 7:52
#abstract-algebra
#ring-homomorphism
2.4k
Views
Total number of roots of a polynomial of degree $n$ over a ring $R$
Published on
13 Apr 2026 - 9:37
#abstract-algebra
#polynomials
#roots
671
Views
Finitely generated extension of transcendence degree 1
Published on
13 Apr 2026 - 4:20
#abstract-algebra
#field-theory
#extension-field
431
Views
$M =\mathbb{C}[x]/(x^2)$ is not a free module over $\mathbb{C}[x]$
Published on
12 Apr 2026 - 4:05
#abstract-algebra
#modules
250
Views
Suppose $I\oplus K$ is a free module, then "$KI\subseteq K\cap I$"
Published on
13 Apr 2026 - 20:52
#abstract-algebra
#ring-theory
#modules
429
Views
Determine all group homomorphisms of the form $\phi: \mathbb{Z}_{12}\to \mathbb{Z}_{30}$.
Published on
16 Apr 2026 - 4:59
#abstract-algebra
#group-theory
#group-homomorphism
42
Views
In a module X over R, if $a\in R$ such that $a.x=0$ for all $x\in X$, then $a=0$?
Published on
14 Apr 2026 - 4:31
#abstract-algebra
#modules
#homological-algebra
632
Views
How to extract square roots of polynomials in several variables?
Published on
10 Apr 2026 - 6:22
#abstract-algebra
#algebra-precalculus
#polynomials
#algorithms
75
Views
Show that the following $\phi: \mathbb{R}\to GL_{2}(\mathbb{R})$ is not a homomorphism.
Published on
14 Apr 2026 - 23:07
#abstract-algebra
#group-theory
#group-homomorphism
68
Views
Field generated and fraction field
Published on
10 Apr 2026 - 15:23
#abstract-algebra
#field-theory
#extension-field
633
Views
Quotient rings (modules) of a bigger ideal is contained in the quotient ring (modules) of a smaller ideal?
Published on
12 Apr 2026 - 22:41
#abstract-algebra
#ring-theory
#modules
28
Views
Prove isomorphism in infinite-dim condition
Published on
17 Apr 2026 - 5:23
#linear-algebra
#abstract-algebra
#general-topology
149
Views
Do semirings always require neutral elements?
Published on
29 Apr 2026 - 12:28
#abstract-algebra
#semiring
181
Views
Is the following statement correct or incorrect?
Published on
15 Apr 2026 - 10:19
#abstract-algebra
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