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15
Math.TechQA.Club
2021-05-11 00:36:10
45
Views
Question about Modules over PIDs
Published on
11 May 2021 - 0:36
#abstract-algebra
#ring-theory
#field-theory
#principal-ideal-domains
248
Views
Constructing nonprincipal ideals in a non-UFD
Published on
30 Mar 2026 - 15:29
#abstract-algebra
#ring-theory
#factoring
#principal-ideal-domains
#unique-factorization-domains
497
Views
GCD of rational and irrational numbers
Published on
27 Mar 2026 - 7:37
#abstract-algebra
#gcd-and-lcm
#irrational-numbers
#principal-ideal-domains
#euclidean-domain
52
Views
If $R$ is a principal integer domain, then any finitely generated projective $R$-module is isomorphic to $R$
Published on
31 Mar 2026 - 6:04
#ring-theory
#principal-ideal-domains
#projective-module
290
Views
How to prove that ring of polynomials in two variables is not a PID?
Published on
02 Jun 2021 - 16:10
#abstract-algebra
#ring-theory
#principal-ideal-domains
101
Views
Questions about following proof regarding why $\mathbb{Z}[x]$ is not a principal ideal domain
Published on
08 Jun 2021 - 19:08
#abstract-algebra
#proof-explanation
#principal-ideal-domains
489
Views
Implications between $K$ field and $K[x]$ PID and ED
Published on
27 Mar 2026 - 7:36
#abstract-algebra
#ring-theory
#principal-ideal-domains
#integral-domain
#euclidean-domain
116
Views
constructive proof that $K[X]$ is a PID
Published on
28 Mar 2026 - 2:20
#field-theory
#irreducible-polynomials
#principal-ideal-domains
#constructive-mathematics
40
Views
Some problems in Noncommutative Algebra book of Benson Farb and R. Keith Dennis
Published on
23 Feb 2026 - 10:04
#abstract-algebra
#ring-theory
#modules
#principal-ideal-domains
#division-ring
77
Views
Extracting Rank from a module isomorphism over a PID
Published on
29 Mar 2026 - 17:43
#abstract-algebra
#solution-verification
#principal-ideal-domains
#free-modules
56
Views
sieve of Eratosthenes generalization to Dedekind domains or even PID's
Published on
25 Mar 2026 - 13:56
#algebraic-number-theory
#principal-ideal-domains
#dedekind-domain
#sieve-theory
#integer-rings
356
Views
showing a ring is a principal ideal domain
Published on
23 Jul 2021 - 0:59
#abstract-algebra
#ring-theory
#ideals
#principal-ideal-domains
592
Views
In A a PID, $d=\gcd(a,b) \iff ax+by=d$
Published on
03 Aug 2021 - 18:08
#proof-writing
#alternative-proof
#principal-ideal-domains
37
Views
Hypothesis - am I doing this right? (Local, principal ideal ring)
Published on
25 Mar 2026 - 23:20
#principal-ideal-domains
#krull-dimension
#local-rings
#artinian
201
Views
Finitely generated torsion module homomorphism in PID local ring
Published on
05 Sep 2021 - 18:10
#abstract-algebra
#modules
#principal-ideal-domains
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