Phan, C. (2009) Generalized Koszul properties for augmented algebras. Journal of Algebra, 321(5), pp. 1522-1537. (doi: 10.1016/j.jalgebra.2008.12.011)
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Abstract
Under certain conditions, a filtration on an augmented algebra A admits a related filtration on the Yoneda algebra E(A) := ExtA(K,K). We show that there exists a bigraded algebra monomorphism gr E(A) → EGr(gr A), where EGr(gr A) is the graded Yoneda algebra of gr A. This monomorphism can be applied in the case where A is connected graded to determine that A has the K2 property recently introduced by Cassidy and Shelton.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Phan, Dr Christopher |
| Authors: | Phan, C. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Algebra |
| Journal Abbr.: | J. Algebra |
| ISSN: | 0021-8693 |
| ISSN (Online): | 1090-266X |
| Published Online: | 10 January 2009 |
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