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What is $\operatorname{Hom}_R(P,R)$ isomorphic to when $P$ is projective?

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#abstract-algebra #commutative-algebra #modules #noncommutative-algebra #projective-module
141
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Projectivity of a (prime) ideal in a noetherian integral domain

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#ring-theory #commutative-algebra #noetherian #projective-module #flatness
176
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When a two-generated ideal of a noetherian integral domain have a finite projective resolution?

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#abstract-algebra #commutative-algebra #projective-module #noetherian #flatness
156
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How many projectives and injectives exist in a path algebra?

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#representation-theory #homological-algebra #projective-module #quiver
339
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Ideal as projective module

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#modules #projective-module
774
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Exact sequences of projective modules

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#modules #exact-sequence #projective-module
190
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Projective and injective resolutions of cyclic modules

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#abstract-algebra #modules #homological-algebra #projective-module #injective-module
425
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Three different notions for "bigness" of a module (length, rank and "mass").

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#linear-algebra #modules #projective-module #noetherian
52
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Free and projective modules

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#modules #projective-module
880
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Non-finitely generated, non-projective flat module, over a polynomial ring

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#commutative-algebra #flatness #projective-module
241
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Non-finitely generated, non-divisible, non-projective, flat module, over a polynomial ring

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#commutative-algebra #projective-module #flatness
277
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Milnor patching for general modules

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#abstract-algebra #commutative-algebra #modules #projective-module
153
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Injectivity, Projectivity, and $P$-injectivity of Localization

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#abstract-algebra #commutative-algebra #modules #projective-module #injective-module
82
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$A \subseteq B \subseteq C$ with $A \subseteq C$ separable and $pd_{B \otimes_A B}(B) = \infty$

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#abstract-algebra #commutative-algebra #projective-module
756
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Constant Dimension for Localization of Projective Modules

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#abstract-algebra #ring-theory #commutative-algebra #modules #projective-module

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