• Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/126/03/0341-0352

    • Keywords

       

      Diamond lemma, quasi-algebra, octonions

    • Abstract

       

      Let $G$ be a group. We prove that every expression in a $G$-graded quasialgebra can be reduced to a unique irreducible form and the irreducible words form abasis for the quasi-algebra. The result obtained is applied to some interesting classes of group graded quasi-algebras like generalized octonions.

    • Author Affiliations

       

      MAMTA BALODI1 HUA-LIN HUANG2 SHIV DATT KUMAR1

      1. Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211 004, India
      2. School of Mathematics, Shandong University, Jinan 250100, China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

© 2017 Indian Academy of Sciences, Bengaluru.