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15
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Characteristic of a ring: $\ker(\varphi) = (n)$.

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#abstract-algebra #ring-theory #ideals #ring-homomorphism
79
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A basic question related to complete reducibility of an FG-module

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#abstract-algebra #ring-theory #representation-theory
89
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Tensor product of fixed ring isomorphism.

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#abstract-algebra #ring-theory #tensor-products
37
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Asymmetry between ascending and descending chain condition on rings

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#abstract-algebra #ring-theory #soft-question
315
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Uniqueness of the Frobenius automorphism

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#abstract-algebra #group-theory #ring-theory #galois-theory #algebraic-number-theory
20
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Properties that separate Rational Numbers from Reals, Rationals from Complex and Reals from Complex(First-Order Logic)

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#ring-theory #first-order-logic
51
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Does the isomorphism $\text{Ann}^M(1-ab)\cong \left(\text{Ann}^M(1-ab)\right)a$ always hold?

Published on
#ring-theory #modules #free-modules #module-isomorphism #bimodules
157
Views

Prove a finite commutative ring is Noetherian

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#abstract-algebra #ring-theory #solution-verification #noetherian
25
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Rings and projection of a map

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#abstract-algebra #ring-theory
149
Views

Question on Inverse Limit Topology

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#general-topology #ring-theory #category-theory
78
Views

Noetherian modules and Noetherian rings

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#abstract-algebra #ring-theory #noncommutative-algebra #noetherian
210
Views

Prove that if a ring R has IBN, then so does R/ I for every proper two-sided ideal I.

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#abstract-algebra #ring-theory #modules #free-modules
59
Views

Abstract algebra ring problem related with number theory

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#abstract-algebra #elementary-number-theory #ring-theory
63
Views

Prove this: $\mathbb Z[i]/(1+2i)\simeq\mathbb Z_5$

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#abstract-algebra #ring-theory #ideals
256
Views

Some Properties about the Characteristic of a Ring

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#abstract-algebra #number-theory #ring-theory #ideals #ring-homomorphism

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