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Structure of principal one-sided ideals

James East

Centre for Research in Mathematics and Data Science, Western Sydney University, Locked Bag 1797, Penrith NSW 2751, Australia

E-mail Address: J.East@WesternSydney.edu.au

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https://doi.org/10.1142/S0218196721400063Cited by:2 (Source: Crossref)

This article is part of the issue:

Special Issue on Papers From the Conference “Semigroups and Groups, Automata, Logics” SandGAL 2019
Guest Editors: Achille Frigeri, Victoria Gould, Patrizia Longobardi and Emanuele Rodaro

Abstract

We give a thorough structural analysis of the principal one-sided ideals of arbitrary semigroups, and then apply this to full transformation semigroups and symmetric inverse monoids. One-sided ideals of these semigroups naturally occur as semigroups of transformations with restricted range or kernel.

Communicated by all the special editors

Keywords:

AMSC: 20M12, 20M10, 20M20, 20M17, 05E15

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