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Describing $Spec(\mathcal{O}_K[X])$

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#commutative-algebra #algebraic-number-theory #schemes
1.2k
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Is Orzech's generalization of the surjective-endomorphism-is-injective theorem correct?

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#abstract-algebra #commutative-algebra #modules
2.5k
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one to one correspondence of Ideals in a ring and its localization

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#abstract-algebra #ring-theory #commutative-algebra #ideals
459
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Are finitely presentable modules closed under extensions?

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#abstract-algebra #commutative-algebra #modules #noncommutative-algebra
465
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Nakayama's lemma, second version

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#abstract-algebra #ring-theory #commutative-algebra #tensor-products
239
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Proving that a certain local ring is regular

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#commutative-algebra #proof-verification
92
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Can $ℂ$ be viewed as a (nontrivial) field of fractions?

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#ring-theory #commutative-algebra
2.4k
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relation between units and non zero divisors in a ring

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#abstract-algebra #ring-theory #commutative-algebra
553
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Picard group of $\mathbb Z[\sqrt{-5}]$

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#commutative-algebra #modules #algebraic-number-theory #projective-module
352
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Castelnuovo-Mumford regularity of Cohen-Macaulay modules

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#algebraic-geometry #reference-request #commutative-algebra #cohen-macaulay
644
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$I$ and $J$ are coprime ideals iff $x \to (x + I, x + J)$ is surjective.

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#abstract-algebra #ring-theory #commutative-algebra #ideals
229
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The interpretation of ideals of a ring.

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#abstract-algebra #ring-theory #commutative-algebra #ideals
1.5k
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Determinant bundle of a tensor product

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#algebraic-geometry #commutative-algebra #determinant #vector-bundles #exterior-algebra
266
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Is this particular module flat?

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#ring-theory #commutative-algebra #modules
572
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A question on Artinian and Noetherian rings.

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#abstract-algebra #commutative-algebra #proof-verification #solution-verification

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