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A quick question on the subring generated by a finite set

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#abstract-algebra #ring-theory
575
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Irreducible polynomials in two and four variables

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#abstract-algebra #polynomials #ring-theory #irreducible-polynomials
515
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Characterize semisimple rings of quotients

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#abstract-algebra #ring-theory #modules
1k
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Intersection of two flat submodules

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#abstract-algebra #ring-theory #commutative-algebra #modules #flatness
221
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Prove the identity in Ring of Integers Modulo Prime

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#abstract-algebra #ring-theory #prime-numbers #universal-algebra
86
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Ring isomorphism given by $\varphi: R \to \text{end}_R(M), a \mapsto \lambda_a$

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#abstract-algebra #ring-theory
101
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Is this "sliding window" unique?

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#number-theory #ring-theory #prime-numbers #finite-rings
283
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Find element in factor ring

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#abstract-algebra #ring-theory
645
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how can I prove that $D^{-1}R$ has a unique maximal ideal?

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#abstract-algebra #ring-theory
4.2k
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Why $\mathbb{Z}[\sqrt{-3}]$ is not a Euclidean domain?

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#abstract-algebra #number-theory #ring-theory
53
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Simultaneous congruences

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#abstract-algebra #polynomials #ring-theory #commutative-algebra
54
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show the following homomorphism is an isomorphism

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#ring-theory #abstract-algebra
224
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Lemma about a prime times a unit

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#linear-algebra #ring-theory #prime-numbers
222
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Determine if $\mathbb R[X,Y]/I$ is a field

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#abstract-algebra #polynomials #ring-theory
252
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PID and module problem

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#abstract-algebra #ring-theory #modules #principal-ideal-domains

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