PERIODIC ELEMENTS OF THE FREE IDEMPOTENT GENERATED SEMIGROUP ON A BIORDERED SET-Reference-Cited by-同舟云学术

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PERIODIC ELEMENTS OF THE FREE IDEMPOTENT GENERATED SEMIGROUP ON A BIORDERED SET

Published:2010-03 Issue:02 Volume:20 Page:189-194
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

EASDOWN D.¹,SAPIR M. V.²,VOLKOV M. V.³

Affiliation:

1. School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia

2. Department of Mathematics, 1326 Stevenson Center, Vanderbilt University, Nashville, TN 37240, USA

3. Department of Mathematics and Mechanics, Ural State University, Lenina 51, 620083 Ekaterinburg, Russia

Abstract

We show that every periodic element of the free idempotent generated semigroup on an arbitrary biordered set belongs to a subgroup of the semigroup.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196710005583

Reference8 articles.

1. Subgroups of free idempotent generated semigroups need not be free

2. Biordered sets come from semigroups

3. SUBGROUPS OF THE FREE SEMIGROUP ON A BIORDERED SET IN WHICH PRINCIPAL IDEALS ARE SINGLETONS

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1. On Automata Accepting Biordered Set Languages and its Properties;COMMUN MATH APPL;2021

2. Inductive groupoids and cross-connections of regular semigroups;Acta Mathematica Hungarica;2018-12-06

3. Diagram monoids and Graham–Houghton graphs: Idempotents and generating sets of ideals;Journal of Combinatorial Theory, Series A;2017-02

4. On regularity and the word problem for free idempotent generated semigroups;Proceedings of the London Mathematical Society;2017-01-23

5. Free idempotent generated semigroups over bands and biordered sets with trivial products;International Journal of Algebra and Computation;2016-05

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