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Rings of fractions

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#abstract-algebra #ring-theory #localization
93
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Two Sided Ideal in Left-Localization of a Left-Noetherian Ring

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#abstract-algebra #ring-theory #ideals #noncommutative-algebra #localization
109
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Analogue of Krull intersection theorem for Symbolic powers of ideals

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#algebraic-geometry #reference-request #commutative-algebra #localization #primary-decomposition
78
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Prime Ideal In Left-Localization

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#abstract-algebra #ring-theory #noncommutative-algebra #localization
138
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Show that if a submonoid $S$ of a commutative monoid $M$ contains an absorbing element, then the localization of $M$ by $S$ contains only one element.

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#abstract-algebra #number-theory #localization #universal-property
360
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If $Q \in\mathrm{Spec}(B)$ is the unique prime ideal lying over $P \in\mathrm{Spec}(A)$, then $B_P=B_Q$.

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#commutative-algebra #localization #integral-extensions
307
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Ideal with zero localizations at prime ideals containing it

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#commutative-algebra #ideals #localization
385
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Localization of a ring vs. localization of a module

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#commutative-algebra #localization
78
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On the natural homomorphism $\nu:R\longrightarrow S^{-1}R$

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#abstract-algebra #ring-theory #localization
42
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Injectivity between two localizations

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#abstract-algebra #commutative-algebra #localization
141
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Non-Noetherian Domain Which is Locally Noetherian

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#ring-theory #commutative-algebra #localization #noetherian
207
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Locally Noetherian Domain With Finitely Many Prime Ideals

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#ring-theory #commutative-algebra #maximal-and-prime-ideals #localization #noetherian
362
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Why does $Re=S^{-1}R$?

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#abstract-algebra #ring-theory #commutative-algebra #localization #idempotents
383
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Isomorphism of modules localized at a maximal ideal

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#commutative-algebra #localization
55
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A characterization of principal rings

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#abstract-algebra #ideals #maximal-and-prime-ideals #localization #principal-ideal-domains

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