Find link

language:

jump to random article

Find link is a tool written by Edward Betts.

Longer titles found: Kaplansky's theorem on projective modules (view)

searching for Projective module 7 found (67 total)

alternate case: projective module

Pure subgroup (698 words) [view diff] exact match in snippet view article find links to article

presented modules. In the case of the integers and abelian groups a pure projective module amounts to a direct sum of cyclic groups. Fuchs, L (1970), Infinite
Projective cover (705 words) [view diff] exact match in snippet view article find links to article
epimorphisms. If (P,p) is a projective cover of M, and P' is another projective module with an epimorphism p ′ : P ′ → M {\displaystyle p':P'\rightarrow
Stably free module (115 words) [view diff] exact match in snippet view article find links to article
over R such that M ⊕ F {\displaystyle M\oplus F} is a free module. A projective module is stably free if and only if it possesses a finite free resolution
Commutative ring (5,688 words) [view diff] exact match in snippet view article find links to article
direct summands of free modules. If R is local, any finitely generated projective module is actually free, which gives content to an analogy between projective
Acyclic model (1,620 words) [view diff] no match in snippet view article find links to article
free functor F {\displaystyle F} is basically just a free (and hence projective) module. V {\displaystyle V} being acyclic at the models (there is only one)
Tensor (9,357 words) [view diff] exact match in snippet view article find links to article
sections of sections of a vector bundle over a compact space form a projective module over the ring of smooth functions. All statements for coherent sheaves
Spectral sequence (10,712 words) [view diff] exact match in snippet view article find links to article
Since projective modules are flat, taking the tensor product with a projective module commutes with taking homology, so we get: H p I ( H q II ( P ∙ ⊗ Q