The Algebraic Structure of a Semigroup of Sets of Transformations with Restricted Range

Ananya Anantayasethi, Joerg Koppitz

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  • Support Team

Keywords:

transformation semigroup with restricted range, ideals, Green’s relations, non-deterministic transformations

Abstract

We study a semigroup which represents a semigroup of sets of Boolean functions on a finite set using the concept of transformations with restricted range. For this semigroup, we  determine  the algebraic structure.
In particular, we characterize the (left, right, and two-sided) ideals and  the Green's relations.
Moreover, for each of the Green's relations, we provide the greatest included congruence.

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Published

2020-12-01

How to Cite

Team, S. (2020). The Algebraic Structure of a Semigroup of Sets of Transformations with Restricted Range: Ananya Anantayasethi, Joerg Koppitz. Thai Journal of Mathematics, 18(4), 1701–1713. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1097

Issue

Vol. 18 No. 4 (2020): December

Section

Articles