数学季刊 ›› 2015, Vol. 30 ›› Issue (1): 79-92.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.009
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.
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