正合范畴中的Gorenstein性和Tate上同调

王志成

doi:10.13371/j.cnki.chin.q.j.m.2015.01.009

数学季刊 >

2015 , Vol. 30 >Issue 1: 79 - 92

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.01.009

正合范畴中的Gorenstein性和Tate上同调

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Gansu Health Vocational College

WANG Zhi-cheng(1979-), male, native of Qingyang, Gansu, a teacher of Cansu Health Vocational College, engages in homological algebra.

收稿日期: 2013-04-10

网络出版日期: 2020-11-24

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Gorensteinness and Tate Cohomology in Exact Categories

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Gansu Health Vocational College

WANG Zhi-cheng(1979-), male, native of Qingyang, Gansu, a teacher of Cansu Health Vocational College, engages in homological algebra.

Received date: 2013-04-10

Online published: 2020-11-24

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摘要

Motivated by the classical Gorenstein homological theory and structure of Tate cohomology, we develop a theory of Gorenstein projective objects and Tate cohomology in an exact category A with enough projectives. We study some properties of Gorenstein projective objects and establish Tate cohomology of objects with finite Gorenstein projective dimension.

关键词： exact category; Gorenstein projective objects; Tate cohomology

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王志成 . 正合范畴中的Gorenstein性和Tate上同调[J]. 数学季刊, 2015 , 30(1) : 79 -92 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.01.009

Abstract

Key words： exact category; Gorenstein projective objects; Tate cohomology

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