Journal Title/Source

Bulletin of the Malaysian Mathematical Sciences Society

Publication Date

2024

Volume

47

Page Numbers

1-15

Document Type

Journal Article

Department

Mathematics and Computer Science

Abstract

The variety of Moufang loops is axiomatized by any one of four well known (equivalent) identities. We prove that this axiomatic harmony holds in a broader setting by obtaining two alternate, generalized versions of the (traditional) definition of a Moufang loop using four “local” identities, each derived from one of the four “global” Moufang identities, one for loops, the other for magmas with the right or left inverse property.

Download

Share

COinS