关于Wakamatsu倾斜模的Gorenstein类的稳定性

Stability of Gorenstein Classes Relative to Wakamatsu Tilting Modules

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

作者何东林李煜彦 HE Donglin;LI Yuyan(School of Mathematics and Information Science,Longnan Teachers College,Gansu Longnan 742500,China)

机构地区陇南师范高等专科学校数信学院

出处《河北师范大学学报（自然科学版）》 CAS 2019年第6期465-467,共3页 Journal of Hebei Normal University：Natural Science

基金甘肃省高等学校科研项目(2018A-269) 甘肃省高等学校创新能力提升项目(2019B-224)

关键词 Wakamatsu倾斜模 Gorenstein模投射生成子内射余生成子 Wakamatsu tilting modules Gorenstein modules projective generators injective cogenerators

分类号 O153 [理学—基础数学]

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参考文献2

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共引文献11

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2何东林,李煜彦.Abel范畴上生成子和余生成子的若干注记[J].常熟理工学院学报,2020,34(2):93-96.
3何东林,樊亮.关于对偶对的Gorenstein平坦模及其维数[J].四川轻化工大学学报（自然科学版）,2020,33(4):83-88.
4何东林.弱wakamatsu余倾斜模的若干注记[J].陕西理工大学学报（自然科学版）,2020,36(5):89-92.
5何东林.投射生成子与D_(C)-内射模[J].青海师范大学学报（自然科学版）,2021,37(1):13-18.
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7何东林,樊亮.D_(C)-投射模的若干注记[J].吉首大学学报（自然科学版）,2021,42(2):1-4.
8贾宏慧,赵仁育.强VW-Gorenstein复形[J].山东大学学报（理学版）,2023,58(3):33-38.
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1张春霞,刘仲奎.Ext_F-投射生成子与Ext_F-内射余生成子[J].数学年刊（A辑）,2018,39(4):407-428.
2何东林,李煜彦.Y-Gorenstein余挠维数[J].青海师范大学学报（自然科学版）,2019,35(3):8-11.
3张翠萍,王鹏飞.具有有限X-余分解维数的模的上同调性质[J].西北师范大学学报（自然科学版）,2018,54(2):1-5.
4Zhibing Zhao.Gorenstein homological invariant properties under Frobenius extensions[J].Science China Mathematics,2019,62(12):2487-2496. 被引量：7
5何东林,李煜彦.相对于挠理论的S-纯子模和S-纯内射模[J].大庆师范学院学报,2019,39(6):87-91.
6Xiaoshan QIN,Yanhua WANG,James ZHANG.Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity[J].Frontiers of Mathematics in China,2019,14(5):923-940.

河北师范大学学报（自然科学版）

2019年第6期

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关于Wakamatsu倾斜模的Gorenstein类的稳定性

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