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15
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Property of GCD in ring

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#ring-theory #proof-writing #integral-domain
289
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Abstract Algebra: integral domain and principal ideal domain

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#abstract-algebra #principal-ideal-domains #integral-domain
709
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Do the ring of smooth functions on $\Bbb R$ form an integral domain?

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#abstract-algebra #integral-domain
49
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Show $I=p\mathbb{Z}$ for prime $p$.

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#abstract-algebra #ring-theory #ideals #integral-domain
394
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Is there a characterization of integral domains in terms of the homomorphisms out of them?

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#ring-theory #commutative-algebra #integral-domain
72
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Integral multiplicative system over a domain

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#ring-theory #commutative-algebra #integral-domain
140
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Characteristic of Integral-domain where $15a=0$ but $3b\neq 0$.

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#ring-theory #integral-domain
181
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An integral domain of characteristic $k>0$ is a vector space over $\mathbb{Z}_k$?

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#abstract-algebra #integral-domain
3k
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Field of Quotients Explanation

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#abstract-algebra #field-theory #integral-domain
545
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Maximal ideal generated by irreducible element

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#abstract-algebra #ring-theory #integral-domain
160
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For $A$ integral domain, $S$ multiplicative subset, if $x/s \in S^{-1}A$ is irreducible, then $x$ is irreducible.

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#abstract-algebra #ring-theory #integral-domain
886
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Question about Euclidean Domain but not a Field

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#abstract-algebra #integral-domain
111
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Showing that if $F$ an integral domain, $F[x_1,\dots,x_n]$ is an integral domain

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#integral-domain
99
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Are these properties for a monoid enough for being the underlying monoid of an integral domain minus the zero?

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#abstract-algebra #ring-theory #monoid #integral-domain
457
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A question on localization of fractional ideals

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#abstract-algebra #ring-theory #commutative-algebra #integral-domain

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