Nucinkis, Brita E.A. (1998) Complete cohomology for arbitrary rings using injectives. Journal of Pure and Applied Algebra, 131 (3), 297-318. (doi:10.1016/S0022-4049(97)00082-0).
Abstract
We will develop a complete cohomology theory, which vanishes on injectives and give necessary and sufficient conditions for it to be equivalent to the generalized Tate cohomology theory developed by Mislin, Benson and Carlson and Vogel.
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