The Yoneda algebra of a K2 algebra need not be another K2 algebra

Cassidy, T., Phan, C. and Shelton, B. (2010) The Yoneda algebra of a K2 algebra need not be another K2 algebra. Communications in Algebra, 38(1), pp. 46-48. (doi: 10.1080/00927870902829148)

Abstract

The Yoneda algebra of a Koszul algebra or a D-Koszul algebra is Koszul. K₂ algebras are a natural generalization of Koszul algebras, and one would hope that the Yoneda algebra of a K₂ algebra would be another K₂ algebra. We show that this is not necessarily the case by constructing a monomial K₂ algebra for which the corresponding Yoneda algebra is not K₂.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Phan, Dr Christopher
• Authors: Cassidy, T., Phan, C., and Shelton, B.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Communications in Algebra
• Journal Abbr.: Comm. Algbera
• ISSN: 0092-7872
• ISSN (Online): 1532-4125