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15
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Noetherian local domain of dimension one

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#commutative-algebra #noetherian #local-rings
216
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Hom and tensor in local Ring

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#abstract-algebra #commutative-algebra #tensor-products #local-rings
645
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Injective map from a module of finite rank to free module

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#algebraic-geometry #commutative-algebra #local-rings
101
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Rank of completion of a module

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#algebraic-geometry #commutative-algebra #local-rings
210
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Given a prime ideal $P$ in a valuation ring $A$, there is a valuation ring $B$ containing $A$ such that $B/PB$ is the fraction field of $A/P$ ?

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#commutative-algebra #maximal-and-prime-ideals #local-rings #integral-extensions
804
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Commutative Noetherian, local, reduced ring has only one minimal prime ideal?

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#ring-theory #commutative-algebra #maximal-and-prime-ideals #noetherian #local-rings
261
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Galois Theory for Finite Local Commutative Rings

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#galois-theory #finite-rings #local-rings
133
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Complete rings with respect to an I-adic topology

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#ring-theory #local-rings
137
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Statement of Lech's lemma

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#limits #commutative-algebra #modules #krull-dimension #local-rings
50
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Difference between two localizations

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#commutative-algebra #localization #local-rings
324
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Local, factorization domain with principal maximal ideal is a PID?

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#commutative-algebra #maximal-and-prime-ideals #valuation-theory #local-rings
77
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More aesthetically pleasing proof of lifting.

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#commutative-algebra #noetherian #local-rings
99
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Does isomorphism of analytic algebras determine their analytic tensor product (modulo isomorphism)?

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#algebraic-geometry #ring-theory #tensor-products #complex-geometry #local-rings
140
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Valuation ring whose unique maximal ideal and every ideal of finite height is principal

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#commutative-algebra #maximal-and-prime-ideals #valuation-theory #krull-dimension #local-rings
144
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Valuation ring of finite Krull dimension whose every non-maximal ideal is principal

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#commutative-algebra #valuation-theory #krull-dimension #local-rings #dimension-theory-algebra

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