Recollements and Φ-Cohen–Macaulay Auslander–Yoneda algebras
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Published:2023-06-23
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Volume:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. School of Mathematics, Yunnan Normal University, Kunming, Yunnan 650500, China
Abstract
It is shown that a [Formula: see text]-recollement of derived categories of algebras induces a [Formula: see text]-recollement of the corresponding [Formula: see text]-Cohen–Macaulay Auslander–Yoneda algebras. This result not only generalizes the main theorems of Pan [Derived equivalences for [Formula: see text]-Cohen–Macaulay Auslander–Yoneda algebras, Algebr. Represent. Theory 17 (2014) 885–903] and Pan [Derived equivalences for Cohen–Macaulay Auslander algebras, J. Pure Appl. Algebra 216 (2012) 355–363], but also provides us a useful method to construct a new recollement of derived module categories from a given one.
Funder
National Natural Science Foundation of China
Young and Middle-aged Academic and Technological leader of Yunnan
Scientific and Technological Innovation Team in Universities of Yunnan
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory