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Example of Tor-Rigid Module

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#abstract-algebra #commutative-algebra #homological-algebra
343
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maximal chains of graded prime ideals

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#abstract-algebra #commutative-algebra #krull-dimension #graded-rings
213
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Castelnuovo-Mumford regularity and maximal degree of generators

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#algebraic-geometry #commutative-algebra
671
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$\dim(R/x) = \dim(R)-1$ for Noetherian integral domains?

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#abstract-algebra #commutative-algebra #krull-dimension
194
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Finitely generated ideal with special property

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#ring-theory #commutative-algebra
1k
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Field of fractions of an integral closure.

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#commutative-algebra #ideals
77
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What is the least integer $k$ such that any $n$ by $n$ integer matrix is a $\mathbb Z$-linear combination of $k$ indempotents?

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#matrices #commutative-algebra
121
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Noetherianity of valuation ring and valuation being discrete

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#commutative-algebra #valuation-theory
1.3k
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Proposition 5.15 from Atiyah and Macdonald: Integral Closure and Minimal Polynomial

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#commutative-algebra #integral-dependence
225
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Canonical ring map

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#abstract-algebra #ring-theory #commutative-algebra
581
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Intuition behind the abstract definition of a node (singularity)

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#algebraic-geometry #commutative-algebra
195
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Tensor products over monoids : Element structure

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#commutative-algebra #tensor-products #monoid
177
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Some practical questions on cohomology and the ring $\mathbf{Z}[x]/(x^2)$

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #algebraic-topology
269
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Going Down Theorem, AM

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#commutative-algebra
233
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Definition of degree of commutative ring $d(A) $ based on Hilbert polynomial

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#commutative-algebra

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