• Yoneda algebras of almost Koszul algebras

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/125/04/0477-0485

• # Keywords

Almost Koszul algebras; Yoneda algebras; self-injective algebras.

• # Abstract

Let 𝑘 be an algebraically closed field, 𝐴 a finite dimensional connected (𝑝, 𝑞)-Koszul self-injective algebra with 𝑝, 𝑞 ≥ 2. In this paper, we prove that the Yoneda algebra of 𝐴 is isomorphic to a twisted polynomial algebra $A^!$ [𝑡 ; 𝛽] in one indeterminate 𝑡 of degree 𝑞+1 in which $A^!$ is the quadratic dual of 𝐴, 𝛽 is an automorphism of $A^!$, and 𝑡𝑏 = 𝛽(𝑏)𝑡 for each $t \in A^!$. As a corollary, we recover Theorem 5.3 of [2].

• # Author Affiliations

1. School of Mathematics and Physics, University of South China, Hengyang, Hunan, People's Republic of China

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 2
April 2019