JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (4): 16-18.doi: 10.6040/j.issn.1671-9352.0.2022.546

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τ-tilting τ-1-tilting modules and 1-Gorenstein algebras

Xiaojin ZHANG(),Yuxuan CHEN*(),Biao GU   

  1. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, Jiangsu, China
  • Received:2022-10-19 Online:2024-04-20 Published:2024-04-12
  • Contact: Yuxuan CHEN E-mail:xjzhang@jsnu.edu.cn;1481859952@qq.com

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Abstract:

For an algebra A admitting a τ-tilting τ-1-tilting module T, some homological properties of A are given, which generalize the homological properties of 1-Gorenstein algebras. Moreover, it is shown that A is not necessarily to be a 1-Gorenstein algebra.

Key words: Gorenstein algebra, τ-tilting module, τ-1-tilting module

CLC Number: 

  • O154.2
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