homological algebra in Vietnamese
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Sentence patterns related to "homological algebra"
1. Cluster Algebras homological algebra quivers representation theory triangulated categories
2. He has established classic theorems concerning Cohen-Macaulay rings, invariant theory and homological algebra.
3. Stammbach's research deals with homological algebra, specifically with its applications to group theory ( homology and cohomology of groups).
4. The snake lemma is valid in every abelian category and is a crucial tool in homological algebra and its applications, for instance in algebraic topology.
5. Alexander Grothendieck (1957) Revolutionized homological algebra by introducing abelian categories and providing a general framework for Cartan and Eilenberg's notion of derived functors.
6. A straightforward result in homological algebra states that a chain complex with each free is Acyclic if and only if there exists a chain contraction.
7. He played a role in the beginnings of modern homotopy theory perhaps analogous to that of Saunders Mac Lane in homological algebra, namely the adroit and persistent application of categorical methods.