Factorisable monoid of generalized hypersubstitutions of type Γ = (2)

© 2015 by the Mathematical Association of Thailand. All rights reserved. A generalized hypersubstitution of type Γ maps any operation symbol to the set of all terms of the same type which does not necessarily preserve the arity. Every generalized hypersubstitution can be extended to a mapping on the...

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Main Authors: Ampika Boonmee, Sorasak Leeratanavalee
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/54646
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-546462018-09-04T10:19:22Z Factorisable monoid of generalized hypersubstitutions of type Γ = (2) Ampika Boonmee Sorasak Leeratanavalee Mathematics © 2015 by the Mathematical Association of Thailand. All rights reserved. A generalized hypersubstitution of type Γ maps any operation symbol to the set of all terms of the same type which does not necessarily preserve the arity. Every generalized hypersubstitution can be extended to a mapping on the set of all terms. We define a binary operation on the set of all generalized hypersubstitutions by using this extension. It turns out that this set together with the binary operation forms a monoid. In this paper, we characterize all unit elements and determine the set of all unit-regular elements of this monoid of type Γ = (2). We conclude a submonoid of the moniod of all generalized hypersubstitutions of type Γ = (2) which is factorisable. 2018-09-04T10:19:22Z 2018-09-04T10:19:22Z 2015-01-01 Journal 16860209 2-s2.0-84946190017 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84946190017&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54646
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Ampika Boonmee
Sorasak Leeratanavalee
Factorisable monoid of generalized hypersubstitutions of type Γ = (2)
description © 2015 by the Mathematical Association of Thailand. All rights reserved. A generalized hypersubstitution of type Γ maps any operation symbol to the set of all terms of the same type which does not necessarily preserve the arity. Every generalized hypersubstitution can be extended to a mapping on the set of all terms. We define a binary operation on the set of all generalized hypersubstitutions by using this extension. It turns out that this set together with the binary operation forms a monoid. In this paper, we characterize all unit elements and determine the set of all unit-regular elements of this monoid of type Γ = (2). We conclude a submonoid of the moniod of all generalized hypersubstitutions of type Γ = (2) which is factorisable.
format Journal
author Ampika Boonmee
Sorasak Leeratanavalee
author_facet Ampika Boonmee
Sorasak Leeratanavalee
author_sort Ampika Boonmee
title Factorisable monoid of generalized hypersubstitutions of type Γ = (2)
title_short Factorisable monoid of generalized hypersubstitutions of type Γ = (2)
title_full Factorisable monoid of generalized hypersubstitutions of type Γ = (2)
title_fullStr Factorisable monoid of generalized hypersubstitutions of type Γ = (2)
title_full_unstemmed Factorisable monoid of generalized hypersubstitutions of type Γ = (2)
title_sort factorisable monoid of generalized hypersubstitutions of type γ = (2)
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84946190017&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/54646
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