河北师范大学学报—

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刊名：河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
主办：河北师范大学
ISSN： 1000-5854
CN： 13-1061/N
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关于Wakamatsu倾斜模的Gorenstein类的稳定性

陇南师范高等专科学校数信学院, 甘肃陇南 742500
DOI： 10.13763/j.cnki.jhebnu.nse.2019.06.002

Stability of Gorenstein Classes Relative to Wakamatsu Tilting Modules

HE Donglin, LI Yuyan

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摘要/Abstract

摘要：

利用同调代数的方法，研究了关于Wakamatsu倾斜模的Gorenstein类的稳定性，并证明了对任意整数n ≥ 1都有（gi_ω）ⁿ⁺¹=（gi_ω）ⁿ.

Abstract：

Using homological algebra methods,the paper investigates the stability of Gorenstein classes relative to wakamatsu tilting module,and proves that (gi_ω)ⁿ⁺¹=(gi_ω)ⁿ for any integer n ≥ 1.

关键词

关键词： Wakamatsu倾斜模 ; Gorenstein模 ; 投射生成子 ; 内射余生成子

Key words： Wakamatsu tilting modules ; Gorenstein modules ; projective generators ; injective cogenerators

参考文献 10

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