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The ideals of $\mathbb{Z}_{(p)}$ = {$m/n \in \mathbb{Q} : p$ does not divide $n$}.

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#abstract-algebra #ring-theory #ideals #principal-ideal-domains #integral-domain
146
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Decomposition of socle of a ring

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#abstract-algebra #ring-theory #ideals #noncommutative-algebra #socle
92
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Is $\bigcap_{n=1}^\infty I^n$ idempotent, for any ideal $I$?

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#abstract-algebra #ring-theory #ideals
166
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$M_x$ maximal ideal in $C(X)$

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#general-topology #functional-analysis #operator-theory #ideals #c-star-algebras
767
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Prove that every nonzero element of R is either a unit or a zero–divisor.

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#abstract-algebra #proof-verification #ring-theory #ideals
86
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Global bounds on the saturation number of an ideal

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#commutative-algebra #ideals
39
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Reducedness of a factor ring in regard of group rings

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#abstract-algebra #ring-theory #finite-groups #ideals #noncommutative-algebra
165
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Sum of idempotent and nilpotent minimal right ideals

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#abstract-algebra #ring-theory #ideals #noncommutative-algebra
200
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Showing $\mathbb{Z}[i]/(1+2i) \oplus\mathbb{Z}[i]/(6-i)\cong\mathbb{Z}[i]/(8+11i)$

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#abstract-algebra #ring-theory #complex-numbers #modules #ideals
1.2k
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Ideal of Definition

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#commutative-algebra #ideals
732
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Prove that every ideal in $\Bbb{Z}$ is a principal ideal.

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#abstract-algebra #ring-theory #proof-explanation #ideals
139
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Characterizing integral domains for which every ideal, that can be generated by two elements, is projective?

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#reference-request #commutative-algebra #modules #ideals #projective-module
33
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Is there any particular study on the following group

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#ideals
113
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Why proper ideals are non unital sub rings

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#abstract-algebra #ring-theory #ideals
316
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In a ring $R\ni 1_R$ every proper ideal is contained in a maximal ideal.

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#proof-explanation #ideals #infinity

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