• Yoneda algebras of almost Koszul algebras

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      Permanent link:
      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

       

      Zheng Lijing1

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

       
  • Proceedings – Mathematical Sciences | News

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