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Maximal ideal of ring of continuous real-valued functions on $[0, 1]$ is not finitely generated.

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#abstract-algebra #ring-theory #ideals
143
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Ring Homomorphism determined by a 6th root of unity

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#abstract-algebra #ring-theory #complex-numbers #ring-homomorphism
369
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Sub-module of a Tensor Product of ring and module.

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#ring-theory #modules #tensor-products #tensors #free-modules
56
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Is the direct product $I\times R/I=R,$ of rings always true in general?

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#ring-theory #modules
81
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Example(s) of Coprime Ideals in $\mathbb{C}[x,y]$ or $\mathbb{C}[x,y,z]$

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#ring-theory #ideals
100
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Strange algebra question - with permutations.

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#abstract-algebra #ring-theory #induction #symmetric-groups #nilpotence
804
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Subrings of a polynomial ring in one variable

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#ring-theory #polynomial-rings
152
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Showing that $\overline{\mathbb{Z}}/n\overline{\mathbb{Z}}$ is infinite

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#abstract-algebra #number-theory #ring-theory #algebraic-number-theory
95
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Ring Theory ideals

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#abstract-algebra #ring-theory
194
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Showing a ring is not a division ring

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#abstract-algebra #group-theory #ring-theory
58
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Where am I using $R$ is an integral domain in proof of: If $N$ is torsion-free, then $\mathrm{Hom}_R(M,N)$ is torsion-free.

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#abstract-algebra #proof-verification #ring-theory #proof-writing #modules
98
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Is a (non-commutative) quasi-Frobenius regular ring semisimple?

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#abstract-algebra #ring-theory #representation-theory #noncommutative-algebra
59
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Depth of a contraction of a prime ideal of the integral closure of height one

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#abstract-algebra #ring-theory #commutative-algebra
102
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Completion of a ring and the canonical map

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#ring-theory #homological-algebra
43
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Find single generator

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#abstract-algebra #ring-theory

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