Abstract
For a bound quiver algebra satisfying the condition that the every oriented cycles in the quiver are vanished in the algebra, Fernández and Platzeck determined the bound quiver algebra which is isomorphic to the trivial extension algebra. In this paper, we consider a Hochschild extension algebra which is a generalization of a trivial extension algebra. The purpose of this paper is to determine the bound quiver algebras which are isomorphic to Hochschild extension algebras of some finite dimensional self-injective Nakayama algebras.
Funding Statement
Second author’s research was partially supported by JSPS Grant-in-Aid for Young Scientists (B) 17K14175. Third author’s research was partially supported by JSPS Grant-in-Aid for Scientific Research (C) 17K05211.
The authors would like to thank Dr. Ayako Itaba for many valuable comments and warm encouragement, and they are grateful to the referees for useful comments.
Citation
Hideyuki Koie. Tomohiro Itagaki. Katsunori Sanada. "On presentations of Hochschild extension algebras for a class of self-injective Nakayama algebras." SUT J. Math. 53 (2) 135 - 148, December 2017. https://doi.org/10.55937/sut/1520618348
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