Stability of Gorenstein categories |
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Authors: | Sather-Wagstaff, Sean Sharif, Tirdad White, Diana |
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Affiliation: | Department of Mathematical Sciences Kent State University Mathematics and Computer Science Building Summit Street Kent OH 44242 USA Current address: Department of Mathematics 300 Minard Hall North Dakota State University Fargo, ND 58105-5075 USA http://math.ndsu.nodak.edu/faculty/ssatherw/ |
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Abstract: | We show that an iteration of the procedure used to define theGorenstein projective modules over a commutative ring R yieldsexactly the Gorenstein projective modules. Specifically, givenan exact sequence of Gorenstein projective R-modules such that the complexes HomR(G, H) and HomR(H,G) are exact for each Gorenstein projective R-module H, themodule Coker() is Gorensteinprojective. The proof of this result hinges upon our analysisof Gorenstein subcategories of abelian categories. |
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