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Composition factors of injective indecomposable and projective indecomposable modules

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#abstract-algebra #modules #representation-theory #homological-algebra #projective-module
1.6k
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Direct proof that infinite product of copies of $\mathbb{Z}$ is not projective

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#abstract-algebra #group-theory #homological-algebra #abelian-groups #projective-module
50
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If $P/I_kP$ are finitely-generated, is it true that $P/IP$ is finitely-generated where $I=\bigcap I_k$?

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#ring-theory #modules #projective-module
110
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Any characterization for commutative rings over which "projective modules" equal "free modules"?

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#abstract-algebra #commutative-algebra #homological-algebra #projective-module
467
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Projective Dimension and Schanuel's Lemma

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#abstract-algebra #modules #homological-algebra #projective-module
203
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Projections and projective modules of $C(X)$

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#c-star-algebras #projective-module #topological-k-theory
1.3k
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Computing (the ring structure of) $\mathrm{Ext}^\bullet_R(k,k)$ for $R=k[x]/(x^2)$

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#abstract-algebra #modules #homological-algebra #projective-module #derived-functors
430
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Natural action of $\mathbb{Z}G$ on $\mathbb{Z}$?

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#modules #group-actions #projective-module #group-rings
234
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Lifting homomorphism when module is direct summand of free module

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#abstract-algebra #modules #exact-sequence #projective-module
443
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If every cyclic $R$-module is projective, then $R$ is semisimple.

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#abstract-algebra #modules #projective-module #semi-simple-rings
1.8k
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Homology group of $CP^n$ and $\mathbb{R}P^n$

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#algebraic-topology #proof-writing #homology-cohomology #knot-theory #projective-module
546
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Show that $\mathbb{Z}_2$ is not a free $\mathbb{Z}_6$-module

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#projective-module
120
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Projective Module equivalence

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#abstract-algebra #category-theory #projective-module
66
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Projective Module equivalence proof

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#abstract-algebra #modules #projective-module
187
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Is $\Bbb Z_2$ free?

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#projective-module #free-modules

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