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Union of projective submodules is projective?

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#modules #projective-module
200
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Property of projective modules

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#commutative-algebra #projective-module
858
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If the direct sum of a module with a free module is free, then that module is zero

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#commutative-algebra #modules #projective-module #free-modules
71
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Understanding a proof from algebraic k-theory

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#projective-module #algebraic-k-theory
166
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On projective ideals

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#commutative-algebra #modules #ideals #projective-module
192
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Ideal $I$ in a Noetherian ring such that $I+(b)$ and $I+(a)$ are projective, where $ab\in I$

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#commutative-algebra #modules #ideals #projective-module
94
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$\mathbb{T}^4/\mathbb{Z}_2$, $\mathbb{T}^2/\mathbb{Z}_2$, and $\mathbb{CP}^1$

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#algebraic-geometry #geometric-topology #projective-space #projective-module #surgery-theory
67
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commutative Noetherian ring whose every maximal ideal is projective

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#commutative-algebra #modules #homological-algebra #noetherian #projective-module
1.1k
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Intuition for definition of projective module

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#modules #intuition #projective-module
1k
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$P$ direct summand of a free module implies $P$ is projective

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#abstract-algebra #modules #projective-module
87
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From root and weight lattices of SU(N) to $\theta$-functions as sections of a line bundle and $CP$-space

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#algebraic-geometry #representation-theory #projective-space #projective-module #theta-functions
266
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Divisible module over an integral domain is not projective?

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#abstract-algebra #modules #projective-module
595
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length of minimal projective resolution and projective dimension

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#abstract-algebra #modules #homological-algebra #projective-module #representation-of-algebras
152
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If P is a Projective R Module and Q is an Injective R module then $P \otimes_{R} Q$ is Injective

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#modules #tensor-products #projective-module #injective-module
847
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Generalized Schanuel Lemma

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#abstract-algebra #modules #homological-algebra #projective-module

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