On extensions of abelian categories with applications to ring theory

DOI10.1006/JABR.1993.1062zbMath0796.18007OpenAlexW2094530679MaRDI QIDQ1312862

Nikolaos Marmaridis

Publication date: 25 September 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1993.1062

zbMATH Keywords

extensionstrivial extensionmodule categoriesadjoint pairabelian categories

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Projectives and injectives (category-theoretic aspects) (18G05) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Abelian categories, Grothendieck categories (18E10)

Related Items (7)

τ-tilting modules over trivial extensions ⋮ THE BOUND QUIVER OF A SPLIT EXTENSION ⋮ Tilting modules over split-by-nilpotent extensions ⋮ Split-By-Nilpotent Extensions Algebras and Stratifying Systems ⋮ On the relative homology of cleft extensions of rings and abelian categories ⋮ The dual transpose over an Artin algebra \(\Lambda\) and over a factor \(\Lambda/\mathfrak A\) of \(\Lambda\). ⋮ Cleft extensions of abelian categories and applications to ring theory

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