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...
Saved in:
Main Authors: | , |
---|---|
Format: | Journal |
Published: |
2018
|
Subjects: | |
Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84946190017&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54646 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Chiang Mai University |
id |
th-cmuir.6653943832-54646 |
---|---|
record_format |
dspace |
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 |
_version_ |
1681424359082688512 |