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...

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Main Authors:	Thodsaporn Kumduang, Sorasak Leeratanavalee
Format:	Journal
Published:	2020
Subjects:	Multidisciplinary
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075421526&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68126
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-68126
record_format	dspace
spelling	th-cmuir.6653943832-681262020-04-02T15:21:08Z Monoid of linear hypersubstitutions for algebraic systems of type ((n), (2)) and its regularity Thodsaporn Kumduang Sorasak Leeratanavalee Multidisciplinary © 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. 2020-04-02T15:21:08Z 2020-04-02T15:21:08Z 2019-11-01 Journal 01253395 2-s2.0-85075421526 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075421526&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68126
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Multidisciplinary
spellingShingle	Multidisciplinary Thodsaporn Kumduang Sorasak Leeratanavalee Monoid of linear hypersubstitutions for algebraic systems of type ((n), (2)) and its regularity
description	© 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.
format	Journal
author	Thodsaporn Kumduang Sorasak Leeratanavalee
author_facet	Thodsaporn Kumduang Sorasak Leeratanavalee
author_sort	Thodsaporn Kumduang
title	Monoid of linear hypersubstitutions for algebraic systems of type ((n), (2)) and its regularity
title_short	Monoid of linear hypersubstitutions for algebraic systems of type ((n), (2)) and its regularity
title_full	Monoid of linear hypersubstitutions for algebraic systems of type ((n), (2)) and its regularity
title_fullStr	Monoid of linear hypersubstitutions for algebraic systems of type ((n), (2)) and its regularity
title_full_unstemmed	Monoid of linear hypersubstitutions for algebraic systems of type ((n), (2)) and its regularity
title_sort	monoid of linear hypersubstitutions for algebraic systems of type ((n), (2)) and its regularity
publishDate	2020
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85075421526&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68126
_version_	1681426762593992704

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

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