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Local idempotents in a von Neumann regular rings

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #idempotents
156
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Is there a ring in which the pairwise intersection of maximal ideals is the Jacobson radical

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#abstract-algebra #group-theory #ring-theory #commutative-algebra
498
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Explanation of a proof from Stacks Project: Noetherian ring of formal powers series

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#abstract-algebra #proof-verification #commutative-algebra #proof-explanation #formal-power-series
44
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Support of a section behaves well with quotients

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#algebraic-geometry #commutative-algebra #sheaf-theory #schemes
1.6k
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Weak form of Hilbert's Nullstellensatz (Atiyah-Macdonald)

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#algebraic-geometry #commutative-algebra
98
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A special ideal in a local ring

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #local-rings
652
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A characterization for semilocal rings

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #local-rings
172
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Is a ring homomorphism into a center always injective?

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#abstract-algebra #ring-theory #commutative-algebra
172
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Why is infinite field so important here? Clearing my fundamental concept in ring theory.

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #integral-domain
52
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Some classes of semiprimitive pm-rings

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra
95
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prove that $ \phi _\mathfrak{m}: M_\mathfrak m \rightarrow N_ \mathfrak m $ is injective then $\phi : M \rightarrow N$ is injective.

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#abstract-algebra #proof-verification #ring-theory #commutative-algebra #modules
323
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Does flat ring homomorphism send non-zero divisors to non-zero divisors?

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#abstract-algebra #commutative-algebra #flatness
82
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When Matlis duality is isomorphism

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#commutative-algebra #cohen-macaulay
238
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Why completion of a Noetherian ring is complete and Hausdorff

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#commutative-algebra
277
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Ring theory square bracket notation

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#abstract-algebra #ring-theory #commutative-algebra #notation

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