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Cayley color graphs of inverse semigroups and groupoids

Sieben, Nandor (2008) Cayley color graphs of inverse semigroups and groupoids. Czechoslovak Mathematical Journal, 58 (3). pp. 683-692. ISSN 1572-9141

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Publisher’s or external URL: http://dx.doi.org/10.1007/s10587-008-0043-6

Abstract

The notion of Cayley color graphs of groups is generalized to inverse semigroups and groupoids. The set of partial automorphisms of the Cayley color graph of an inverse semigroup or a groupoid is isomorphic to the original inverse semigroup or groupoid. The groupoid of color permuting partial automorphisms of the Cayley color graph of a transitive groupoid is isomorphic to the original groupoid.

Item Type: Article
Publisher’s Statement: Published by Akademie věd České republiky, Matematický ústav for Academy of Sciences of Czech Republic, Mathematical Institute.
ID number or DOI: 10.1007/s10587-008-0043-6
Keywords: Cayley color graph; groupoid; inverse semigroup
Subjects: Q Science > QA Mathematics
NAU Depositing Author Academic Status: Faculty/Staff
Department/Unit: College of Engineering, Forestry, and Natural Science > Mathematics and Statistics
Date Deposited: 30 Sep 2015 19:08
URI: http://openknowledge.nau.edu/id/eprint/496

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