Generalizations of the relationship between quasi-hereditary algebras and directed bocses

2022/02/01 by Yuichiro Goto, Goto, Yuichiro
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2202.00385

Abstract

Koenig, Külshammer and Ovsienko showed that Morita equivalence classes of quasi-hereditary algebras are in one-to-one correspondence with equivalence classes of the module categories over directed bocses. In this article, we extend this result to Δ-filtered algebras and Δ-filtered algebras.

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