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15
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Noetherian rings whose prime ideals have projective dimension bounded above

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#commutative-algebra #homological-algebra #projective-module #global-dimension
69
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Projective module which is direct sum of $R^n$

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#modules #projective-module
76
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On rings whose $K_0$ has nice properties

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#algebraic-geometry #reference-request #commutative-algebra #projective-module #algebraic-k-theory
172
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Hilbert Syzygy Theorem for non-graded modules

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#commutative-algebra #modules #homological-algebra #projective-module #graded-modules
208
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Projective modules in long exact sequences

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#homological-algebra #exact-sequence #projective-module #free-modules
394
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Tensor product of a bimodule (projective as a right module) and a projective right module is projective

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#tensor-products #projective-module #bimodules
611
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The projective dimension of modules in a short exact sequence

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#abstract-algebra #ring-theory #modules #homological-algebra #projective-module
167
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Projective dimension over restriction of scalars

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#abstract-algebra #homological-algebra #projective-module
54
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Module of arbitrary projective dimension

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#abstract-algebra #homological-algebra #projective-module
726
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Ideals of Dedekind rings are projective

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#commutative-algebra #modules #projective-module #dedekind-domain
215
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Invertible modules are locally finite free , proof explanation

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#abstract-algebra #commutative-algebra #homological-algebra #projective-module
359
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Tor commutes with direct limits

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#commutative-algebra #homological-algebra #projective-module
91
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Condition for a finitely generated flat module be projective

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#modules #projective-module #finitely-generated #flatness
179
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Finitely generated projective modules, over commutative Noetherian ring, of constant rank $1$, if stably isomorphic, then isomorphic?

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#commutative-algebra #localization #projective-module
422
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On faithfully flat and faithfully projective modules

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#commutative-algebra #modules #homological-algebra #projective-module #flatness

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