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WHEN IS THE SILTING-DISCRETENESS INHERITED?
Published online by Cambridge University Press: 01 April 2024
Abstract
We explore when the silting-discreteness is inherited. As a result, one obtains that taking idempotent truncations and homological epimorphisms of algebras transmit the silting-discreteness. We also study classification of silting-discrete simply-connected tensor algebras and silting-indiscrete self-injective Nakayama algebras. This paper contains two appendices; one states that every derived-discrete algebra is silting-discrete, and the other is about triangulated categories whose silting objects are tilting.
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal
Footnotes
T.A. was partly supported by JSPS Grant-in-Aid for Young Scientists 19K14497.
References
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