Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (1): 79-92.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.009
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Abstract: 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.
Key words: exact category, Gorenstein projective objects, Tate cohomology
CLC Number:
O154.1
O189.22
WANG Zhi-cheng. Gorensteinness and Tate Cohomology in Exact Categories[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(1): 79-92.
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URL: https://sxjk.magtechjournal.com/EN/10.13371/j.cnki.chin.q.j.m.2015.01.009
https://sxjk.magtechjournal.com/EN/Y2015/V30/I1/79