作者
Luis Gabriel Rodríguez-Valdés, Martha Lizbeth Shaid Sandoval-Miranda, Valente Santiago-Vargas
发表日期
2022/5/4
期刊
Communications in Algebra
卷号
50
期号
5
页码范围
1961-1993
出版商
Taylor & Francis
简介
In this work, we develop the theory of k-idempotent ideals in the setting of dualizing varieties. Several results given previously by Auslander et al. are extended to this context. Given an ideal (which is the trace of a projective module), we construct a canonical recollement which is the analog to a well-known recollement in categories of modules over artin algebras. Moreover, we study the homological properties of the categories involved in such a recollement. Consequently, we find conditions on the ideal to obtain quasi-hereditary algebras in such a recollement. Applications to bounded derived categories are also given.
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LG Rodríguez-Valdés, MLS Sandoval-Miranda… - Communications in Algebra, 2022