• Diamond lemma for the group graded quasi-algebras

• # Fulltext

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

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

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019