The endomorphism semigroup of an endomapping of a finite set

Authors

  • Subrata Majumdar Department of Mathematics University of Rajshahi, Rajshahi
  • Mohd Altab Hossain Department of Mathematics University of Rajshahi, Rajshahi
  • Kalyan Kumar Dey Department of Mathematics University of Rajshahi, Rajshahi

Keywords:

Endomorphism semigroup, Transformation semigroup, Full transformation semigroup, Direct product, Wreath product, Directed graph

Abstract

The structure of the semigroup of all endomorphisms of an endomapping of a finite set has been determined. This has been done by naturally representing the endomapping by a directed graph, and determining the structure of the endomorphism semigroup of this graph.

DOI: http://dx.doi.org/10.3329/ganit.v31i0.10310

GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 31 (2011) 71-77

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Published

2012-04-09

How to Cite

The endomorphism semigroup of an endomapping of a finite set. (2012). GANIT: Journal of Bangladesh Mathematical Society, 31, 71-77. https://doi.org/10.3329/ganit.v31i0.10310

Issue

Vol. 31 (2011)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)

How to Cite

The endomorphism semigroup of an endomapping of a finite set. (2012). GANIT: Journal of Bangladesh Mathematical Society, 31, 71-77. https://doi.org/10.3329/ganit.v31i0.10310