Higher Regularity, Inverse and Polyadic Semigroups

We generalize the regularity concept for semigroups in two ways simultaneously: to higher regularity and to higher arity. We show that the one-relational and multi-relational formulations of higher regularity do not coincide, and each element has several inverses. The higher idempotents are introduc...

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Bibliographic Details
Main Author: Steven Duplij
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/7/10/379