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The Yoneda algebra of a K_2 algebra need not be another K_2 algebra
- Source :
- Comm. Algebra 38 (2010) 46-48
- Publication Year :
- 2008
-
Abstract
- The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. K_2 algebras are a natural generalization of Koszul algebras, and one would hope that the Yoneda algebra of a K_2 algebra would be another K_2 algebra. We show that this is not necessarily the case by constructing a monomial K_2 algebra for which the corresponding Yoneda algebra is not K_2.<br />Comment: Errors in v1 corrected
- Subjects :
- Mathematics - Rings and Algebras
16E65
Subjects
Details
- Database :
- arXiv
- Journal :
- Comm. Algebra 38 (2010) 46-48
- Publication Type :
- Report
- Accession number :
- edsarx.0810.4656
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1080/00927870902829148