具有有限整体Gorenstein维数的环

doi:10.13371/j.cnki.chin.q.j.m.2017.03.004

数学季刊 ›› 2017, Vol. 32 ›› Issue (3): 255-260.doi: 10.13371/j.cnki.chin.q.j.m.2017.03.004

具有有限整体Gorenstein维数的环

Department of Mathematics, Northwest Normal University

收稿日期:2015-12-11 出版日期:2017-09-30 发布日期:2020-10-22
作者简介:REN Wei(1983-), male, native of Longnan, Gansu, an associate professor of Northwest Normal University, Ph.D., engages in homological algebra; ZHANG Yu(1994-), female, native of Yuncheng, Shanxi, a master degree candidate of Northwest Normal University, engages in homological algebra.
基金资助:
Supported by the National Natural Science Foundation of China(11401476)； Supported by the Project for Universities of Gansu Province(2015A-019)；

On Rings with Finite Global Gorenstein Dimensions

Department of Mathematics, Northwest Normal University

Received:2015-12-11 Online:2017-09-30 Published:2020-10-22
About author:REN Wei(1983-), male, native of Longnan, Gansu, an associate professor of Northwest Normal University, Ph.D., engages in homological algebra; ZHANG Yu(1994-), female, native of Yuncheng, Shanxi, a master degree candidate of Northwest Normal University, engages in homological algebra.
Supported by:
Supported by the National Natural Science Foundation of China(11401476)； Supported by the Project for Universities of Gansu Province(2015A-019)；

摘要/Abstract

摘要： As a proper setting to study Gorenstein projective and injective dimensions of modules via vanishing of Gorenstein Ext-functors, a notion of a generalized Gorenstein ring is introduced, which is a non-trivial generalization of Gorenstein rings. Moreover, a new proof for Bennis and Mahdou’s equality of global Gorenstein dimension is given.

关键词: generalized Gorenstein ring, Gorenstein projective(injective) dimension

Abstract: As a proper setting to study Gorenstein projective and injective dimensions of modules via vanishing of Gorenstein Ext-functors, a notion of a generalized Gorenstein ring is introduced, which is a non-trivial generalization of Gorenstein rings. Moreover, a new proof for Bennis and Mahdou’s equality of global Gorenstein dimension is given.

Key words: generalized Gorenstein ring, Gorenstein projective(injective) dimension

中图分类号:

O153.3

任伟, 张瑜. 具有有限整体Gorenstein维数的环[J]. 数学季刊, 2017, 32(3): 255-260.

REN Wei, ZHANG Yu. On Rings with Finite Global Gorenstein Dimensions[J]. Chinese Quarterly Journal of Mathematics, 2017, 32(3): 255-260.

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具有有限整体Gorenstein维数的环

On Rings with Finite Global Gorenstein Dimensions

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