Koszulity of Algebras with Nonpure Resolutions |
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| Authors: | Di-Ming Lu Jun-Ru Si |
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| Institution: | 1. Department of Mathematics , Zhejiang University , Hangzhou, China dmlu@zju.edu.cn;3. Department of Mathematics , Zhejiang University , Hangzhou, China |
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| Abstract: | We discuss certain homological properties of graded algebras whose trivial modules admit nonpure resolutions. Such algebras include both of Artin–Schelter regular algebras of types (12221) and (13431). Under certain conditions, a module with nonpure resolution is decomposed to form an extension by two modules with pure resolutions. |
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| Keywords: | AS-regular algebra N-Koszul algebra Piecewise-Koszul algebra |
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