Transformation semigroups and state machines

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Main Author: Ghadbane, Nacer
Other Authors: nacer.ghadbane@yahoo.com
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2020
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Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63747
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spelling my.unimap-637472020-01-07T14:16:12Z Transformation semigroups and state machines Ghadbane, Nacer nacer.ghadbane@yahoo.com Semigroup Semigroup action Morphism semigroup Transformation Semi- Group State machine Link to publisher's homepage at https://amci.unimap.edu.my/ A transformation semigroup is a pair (Q; S) consisting of a finite set Q, a finite semigroup S and a semigroup action λ : Q X S Q, (q, s  s (q) which means : i) q Q,s, t S : st (q) = s (t (q)) , and (ii) s, t Sq Q, s (q) = t (q) s = t. A state machine or a semiautomation is an ordered triple M = (Q, Σ, F ), where Q and are finite sets and F : Q X Σ Q is a partial function. This paper provides the construction of state machines associate a direct product, the cascade product, and wreath product of transformations semigroups. 2020-01-07T14:16:11Z 2020-01-07T14:16:11Z 2019-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.8(1), 2019, pages 9-16 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63747 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Semigroup
Semigroup action
Morphism semigroup
Transformation Semi- Group
State machine
spellingShingle Semigroup
Semigroup action
Morphism semigroup
Transformation Semi- Group
State machine
Ghadbane, Nacer
Transformation semigroups and state machines
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 nacer.ghadbane@yahoo.com
author_facet nacer.ghadbane@yahoo.com
Ghadbane, Nacer
format Article
author Ghadbane, Nacer
author_sort Ghadbane, Nacer
title Transformation semigroups and state machines
title_short Transformation semigroups and state machines
title_full Transformation semigroups and state machines
title_fullStr Transformation semigroups and state machines
title_full_unstemmed Transformation semigroups and state machines
title_sort transformation semigroups and state machines
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2020
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63747
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