Full Transformation Semigroup of A Free Left S-Act on N-Generators

Authors

DOI:

https://doi.org/10.24996/ijs.2022.63.5.32

Keywords:

Semigroups, Transformation semigroups, Endomorphism monoid, Wreath product

Abstract

          It is well known that the wreath product  is the endmorphism monoid of a free S-act with n-generators. If S is a trivial semigroup then  is isomorphic to . The extension  for  to  where  is an independent algebra has been investigated. In particular, we consider  is to be , where  is a free left S-act of n-generators. The eventual goal of this paper is to show that  is an endomorphism monoid of a free left S-act of n-generators and to prove that  is embedded in the wreath product .

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Published

2022-05-25

How to Cite

Al-Aadhami, A. . (2022). Full Transformation Semigroup of A Free Left S-Act on N-Generators. Iraqi Journal of Science, 63(5), 2194–2202. https://doi.org/10.24996/ijs.2022.63.5.32

Issue

Section

Mathematics