Exact and Semisimple Differential Graded Algebras |
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| Authors: | S. Tempest Aldrich J. R. García Rozas |
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| Affiliation: | 1. Department of Mathematics and Statistics , Saint Mary's University of Minnesota , Winona, MN, 55987, USA;2. Department of Algebra and Analysis , University of Almería , 04120, Almería, Spain |
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| Abstract: | In this paper we provide a classification theorem and a structure theorem for exact differential graded algebras, and we use the classification theorem to show that a differential graded algebra A is semisimple (as a differential graded algebra) precisely when the graded algebra Z(A) is semisimple (as a graded algebra) and A is an exact complex. We also relate exact differential graded algebras with a graded version of Hochschild cohomology. |
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| Keywords: | Artin algebras Modules Proper costratifying systems |
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