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15
Math.TechQA.Club
2014-12-26 15:00:22
146
Views
$A$ integral domain implies $A[x]$ integral domain (proof check)
Published on
26 Dec 2014 - 15:00
#abstract-algebra
#proof-verification
#integral-domain
101
Views
Finite Ring with unity and no zero divisors is field
Published on
23 Feb 2026 - 6:36
#ring-theory
#field-theory
#finite-fields
#integral-domain
#finite-rings
305
Views
LCM and GCD in integral domain
Published on
12 Oct 2019 - 22:36
#gcd-and-lcm
#integral-domain
21
Views
Question about function domain
Published on
21 Oct 2019 - 20:11
#calculus
#integral-domain
514
Views
Integral Domains and Maximal Ideals
Published on
27 Oct 2019 - 17:14
#ring-theory
#ideals
#integral-domain
285
Views
Prove that a ring with 48 elements is not an integral domain
Published on
31 Oct 2019 - 5:52
#abstract-algebra
#ring-theory
#integral-domain
174
Views
Cancellation property holds in ideals in Dedekind domains
Published on
25 Mar 2026 - 16:13
#abstract-algebra
#number-theory
#algebraic-number-theory
#integral-domain
#dedekind-domain
39
Views
How to check if a subset is open in Zariski
Published on
25 Mar 2026 - 13:59
#commutative-algebra
#tensor-products
#integral-domain
#zariski-topology
349
Views
How can I show that $\mathbb R [x]/(x^5+x-3)$ is not an Integral domain?
Published on
08 Nov 2019 - 10:23
#polynomials
#ring-theory
#integral-domain
837
Views
Every ring morphism from an integral domain to a field is injective?
Published on
12 Nov 2019 - 16:00
#abstract-algebra
#proof-verification
#field-theory
#integral-domain
135
Views
$R$ is subring of $\mathbb{C}$, $R$ is not field, $Q$ is field of fractions, then is $[Q:R]$ infinite?
Published on
14 Nov 2019 - 12:16
#abstract-algebra
#ring-theory
#modules
#integral-domain
24
Views
An inequality involving common polynomial divisors of maximal degree
Published on
17 Nov 2019 - 12:17
#abstract-algebra
#polynomials
#divisibility
#integral-domain
123
Views
$R_1\subsetneq R_2$ integral domains, $R_1$ integrally closed. Is $R_2$ integrally closed?
Published on
18 Nov 2019 - 14:28
#abstract-algebra
#commutative-algebra
#integral-domain
1.6k
Views
Prove that $\mathbb{Z}$ is a UFD while $\mathbb{Z}[\sqrt{-5}]$ is not.
Published on
25 Mar 2026 - 18:49
#abstract-algebra
#integral-domain
#unique-factorization-domains
342
Views
Let $R$ be an integral domain and $r, s$ $\in$ $R$
Published on
21 Nov 2019 - 8:41
#abstract-algebra
#gcd-and-lcm
#integral-domain
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