兰州理工大学学报

兰州理工大学学报 ›› 2023, Vol. 49 ›› Issue (5): 157-162.

• 数理科学 • 上一篇    下一篇

相对于Gorenstein内射预包络复形的同调维数

吴德军*, 赵晓宇   

  1. 兰州理工大学 理学院, 甘肃 兰州 730050
  • 收稿日期:2022-04-22 出版日期:2023-10-28 发布日期:2023-11-07
  • 通讯作者: 吴德军(1978-),男,甘肃金昌人,博士,教授. Email:wudj@lut.edu.cn
  • 基金资助:
    国家自然科学基金(12261056)

Dimensions of complexes related to Gorenstein injective preenvelopes

WU De-jun, ZHAO Xiao-yu   

  1. School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2022-04-22 Online:2023-10-28 Published:2023-11-07

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摘要： 设R是具有单位元的结合环, X是R-模复形.给出相对于Gorenstein内射预包络复形X的同调维数的定义和基本性质,并研究相对于Gorenstein内射预包络复形的同调维数与复形的Gorenstein内射维数的关系.

关键词: 特殊的Gorenstein内射预包络, 同调维数, 几乎余同构

Abstract: Let R be an associative ring with identity and X be an R-complex. The definition and basic properties of the homological dimension of X related to the Gorenstein injective preenvelope are given, and the relationship between the homological dimension of X concerning Gorenstein injective preenvelope and the Gorenstein dimension of X is studied.

Key words: special Gorenstein injective preenvelope, homological dimension, almost coisomorphic

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