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-Cay f (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 g...
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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2017
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| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=79956270849&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43075 |
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| Institution: | Chiang Mai University |
| Summary: | Given a semigroup S, a subset A ⊆ S and a semigroup endomorphism f on S, the endo-Cayley graph, denoted by endo-Cay f (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. |
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