Outermost-strongly solid variety of commutative semigroups

© 2016 by the Mathematical Association of Thailand. All rights reserved. Identities are used to classify algebras into collections called varieties, hyperidentities are used to classify varieties into collections called hypervarieties. Hyperidentities have an interpretation in the theory of switchin...

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Main Author: Sorasak Leeratanavalee
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/55942
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-559422018-09-05T03:06:14Z Outermost-strongly solid variety of commutative semigroups Sorasak Leeratanavalee Mathematics © 2016 by the Mathematical Association of Thailand. All rights reserved. Identities are used to classify algebras into collections called varieties, hyperidentities are used to classify varieties into collections called hypervarieties. Hyperidentities have an interpretation in the theory of switching circuits and are also closely related to clone theory. The tool used to study hyperidentities is the concept of a hypersubstitution, see [1]. The generalized concept of a hypersubstitution is a generalized hypersubstitution. Generalized hypersubstitutions are mappings from the set of all fundamental operations into the set of all terms of the same language, which need not necessarily preserve the arities. Identities which are closed under generalized hypersubstitutions are called strong hyperidentities. A variety in which each of its identity is a strong hyperidentity is called strongly solid. In this paper we study a submonoid of the monoid of all generalized hypersubstitutions which is called the monoid of all outermost generalized hypersubstitutions and determine the greatest outermost-strongly solid variety of commutative semigroups. 2018-09-05T03:06:14Z 2018-09-05T03:06:14Z 2016-08-01 Journal 16860209 2-s2.0-84985987341 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84985987341&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55942
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Sorasak Leeratanavalee
Outermost-strongly solid variety of commutative semigroups
description © 2016 by the Mathematical Association of Thailand. All rights reserved. Identities are used to classify algebras into collections called varieties, hyperidentities are used to classify varieties into collections called hypervarieties. Hyperidentities have an interpretation in the theory of switching circuits and are also closely related to clone theory. The tool used to study hyperidentities is the concept of a hypersubstitution, see [1]. The generalized concept of a hypersubstitution is a generalized hypersubstitution. Generalized hypersubstitutions are mappings from the set of all fundamental operations into the set of all terms of the same language, which need not necessarily preserve the arities. Identities which are closed under generalized hypersubstitutions are called strong hyperidentities. A variety in which each of its identity is a strong hyperidentity is called strongly solid. In this paper we study a submonoid of the monoid of all generalized hypersubstitutions which is called the monoid of all outermost generalized hypersubstitutions and determine the greatest outermost-strongly solid variety of commutative semigroups.
format Journal
author Sorasak Leeratanavalee
author_facet Sorasak Leeratanavalee
author_sort Sorasak Leeratanavalee
title Outermost-strongly solid variety of commutative semigroups
title_short Outermost-strongly solid variety of commutative semigroups
title_full Outermost-strongly solid variety of commutative semigroups
title_fullStr Outermost-strongly solid variety of commutative semigroups
title_full_unstemmed Outermost-strongly solid variety of commutative semigroups
title_sort outermost-strongly solid variety of commutative semigroups
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84985987341&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/55942
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