Monoid of linear hypersubstitutions for algebraic systems of type ((n), (2)) and its regularity

© 2019, Prince of Songkla University. All rights reserved. An algebraic system is a structure which consists of a nonempty set together with a sequence of operations and a sequence of relations on this set. Properties of this structure are expressed in terms and formulas. In this paper, we show that...

Full description

Saved in:
Bibliographic Details
Main Authors: Thodsaporn Kumduang, Sorasak Leeratanavalee
Format: Journal
Published: 2020
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075421526&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/68126
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
Description
Summary:© 2019, Prince of Songkla University. All rights reserved. An algebraic system is a structure which consists of a nonempty set together with a sequence of operations and a sequence of relations on this set. Properties of this structure are expressed in terms and formulas. In this paper, we show that the set of all linear hypersubstitutions for algebraic systems of the type ((n), (2)) with a binary operation on this set and the identity element forms a monoid. Finally, we characterize idempotent and regular elements on the monoid.