Functorial properties of endo-Cayley constructions
Given a semigroup S, a subset A ⊆ S and a semigroup endomorphism f on S, the endo-Cayley graph, denoted by endo-Cayf(S, A), is defined by taking S as the vertex set and making every vertex x adjacent to the vertex f (x) a with a ∈ A. In this paper, we describe the construction of the endo-Cayley gra...
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th-cmuir.6653943832-501262018-09-04T04:24:45Z Functorial properties of endo-Cayley constructions C. Promsakon S. Panma Mathematics Given a semigroup S, a subset A ⊆ S and a semigroup endomorphism f on S, the endo-Cayley graph, denoted by endo-Cayf(S, A), is defined by taking S as the vertex set and making every vertex x adjacent to the vertex f (x) a with a ∈ A. In this paper, we describe the construction of the endo-Cayley graph of a semigroup as a functor and study certain reflection and preservation properties of this functor. Moreover, we find results related to several product constructions. © 2011 Pushpa Publishing House. 2018-09-04T04:24:45Z 2018-09-04T04:24:45Z 2011-04-01 Journal 09720871 2-s2.0-79956270849 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79956270849&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50126 |
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Chiang Mai University Library |
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Mathematics |
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Mathematics C. Promsakon S. Panma Functorial properties of endo-Cayley constructions |
| description |
Given a semigroup S, a subset A ⊆ S and a semigroup endomorphism f on S, the endo-Cayley graph, denoted by endo-Cayf(S, A), is defined by taking S as the vertex set and making every vertex x adjacent to the vertex f (x) a with a ∈ A. In this paper, we describe the construction of the endo-Cayley graph of a semigroup as a functor and study certain reflection and preservation properties of this functor. Moreover, we find results related to several product constructions. © 2011 Pushpa Publishing House. |
| format |
Journal |
| author |
C. Promsakon S. Panma |
| author_facet |
C. Promsakon S. Panma |
| author_sort |
C. Promsakon |
| title |
Functorial properties of endo-Cayley constructions |
| title_short |
Functorial properties of endo-Cayley constructions |
| title_full |
Functorial properties of endo-Cayley constructions |
| title_fullStr |
Functorial properties of endo-Cayley constructions |
| title_full_unstemmed |
Functorial properties of endo-Cayley constructions |
| title_sort |
functorial properties of endo-cayley constructions |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79956270849&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/50126 |
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