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- W4308997134 abstract "We show that, up to Morita equivalence, any finite-dimensional algebra with a suitable homological system, admits an exact Borel subalgebra. This generalizes a theorem by Koenig, Kulshammer and Ovsienko, which holds for quasi-hereditary algebras. Our proof follows the same general scheme proposed by these authors, in a more general context: we associate a differential graded tensor algebra with relations, using the structure of $A_{infty}-$algebra of a suitable Yoneda algebra, and use its category of modules to describe the category of filtered modules associated to the given homological system." @default.
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- W4308997134 date "2020-12-26" @default.
- W4308997134 modified "2023-09-26" @default.
- W4308997134 title "Homological systems and bocses" @default.
- W4308997134 doi "https://doi.org/10.48550/arxiv.2012.13781" @default.
- W4308997134 hasPublicationYear "2020" @default.
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