Cleft extensions of abelian categories and applications to ring theory

DOI10.1080/00927870008827104zbMath0964.18005OpenAlexW2088653288MaRDI QIDQ4515473

Apostolos Beligiannis

Publication date: 19 July 2001

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008827104

zbMATH Keywords

representations of quiversabelian categorycleft extensionextension of categoriestripleable functor

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Abelian categories, Grothendieck categories (18E10) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)

Related Items (6)

Homological invariants of the arrow removal operation ⋮ Cohomological reduction by split pairs. ⋮ Cohen-Macaulay modules, (co)torsion pairs and virtually Gorenstein algebras. ⋮ Hochschild cohomology of algebras arising from categories and from bounded quivers ⋮ Reduction techniques for the finitistic dimension ⋮ On the relative homology of cleft extensions of rings and abelian categories

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