The Yoneda algebra of a K_2 algebra need not be another K_2 algebra

Details The Yoneda algebra of a K_2 algebra need not be another K_2 algebra The Yoneda algebra of a K_2 algebra need not be another K_2 algebra

2008-10-26

arxiv.org/abs/0810.4656v3

Comm. Algebra 38 (2010) 46-48

Mathematics

Rings and Algebras

Errors in v1 corrected

Scientific paper

10.1080/00927870902829148

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.

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