• Yoneda algebras of almost Koszul algebras

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • 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


      Zheng Lijing1

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

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.