Syzygy properties under recollements of module categories
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Published:2023-07-22
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Volume:
Page:
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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. College of Science, Nanjing Forestry University, Nanjing 210037, P. R. China
2. School of Mathematics Sciences, Nanjing Normal University, Nanjing 210023, P. R. China
Abstract
Let [Formula: see text] be an artin algebra and [Formula: see text] be an idempotent ideal of [Formula: see text]. Then there is a recollement of [Formula: see text] relative to [Formula: see text] and [Formula: see text]. In this paper, we study some properties of Lat-syzygy-finite classes, special Lat-syzygy-finite classes and Lat-Igusa–Todorov classes. Then, we compare the algebras [Formula: see text], [Formula: see text] and [Formula: see text] with respect to Lat-syzygy-finite properties, special Lat-syzygy-finite properties and Lat-Igusa–Todorov properties under suitable conditions.
Funder
China Scholarship Council
National Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory