Some properties of Umar semigroups: isomorphism theorems, ranks and maximal inverse subsemigroups

© 2018 Springer Science+Business Media, LLC, part of Springer Nature In a paper published in 1994, Umar defined an interesting class of transformation semigroups which naturally generalizes the Vagner one-point completion of the symmetric inverse semigroup. In this paper we prove some isomorphism th...

Full description

Saved in:

Bibliographic Details
Main Authors:	Bernd Billhardt, Jintana Sanwong, Worachead Sommanee
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85046012547&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58807
Tags:	Add Tag No Tags, Be the first to tag this record!
Institution:	Chiang Mai University

id	th-cmuir.6653943832-58807
record_format	dspace
spelling	th-cmuir.6653943832-588072018-09-05T04:32:50Z Some properties of Umar semigroups: isomorphism theorems, ranks and maximal inverse subsemigroups Bernd Billhardt Jintana Sanwong Worachead Sommanee Mathematics © 2018 Springer Science+Business Media, LLC, part of Springer Nature In a paper published in 1994, Umar defined an interesting class of transformation semigroups which naturally generalizes the Vagner one-point completion of the symmetric inverse semigroup. In this paper we prove some isomorphism theorems for finite such semigroups and compute their ranks. Moreover, we determine all maximal inverse subsemigroups of an arbitrary transformation semigroup of this type which is not inverse. 2018-09-05T04:32:50Z 2018-09-05T04:32:50Z 2018-04-27 Journal 00371912 2-s2.0-85046012547 10.1007/s00233-018-9933-6 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85046012547&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58807
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Bernd Billhardt Jintana Sanwong Worachead Sommanee Some properties of Umar semigroups: isomorphism theorems, ranks and maximal inverse subsemigroups
description	© 2018 Springer Science+Business Media, LLC, part of Springer Nature In a paper published in 1994, Umar defined an interesting class of transformation semigroups which naturally generalizes the Vagner one-point completion of the symmetric inverse semigroup. In this paper we prove some isomorphism theorems for finite such semigroups and compute their ranks. Moreover, we determine all maximal inverse subsemigroups of an arbitrary transformation semigroup of this type which is not inverse.
format	Journal
author	Bernd Billhardt Jintana Sanwong Worachead Sommanee
author_facet	Bernd Billhardt Jintana Sanwong Worachead Sommanee
author_sort	Bernd Billhardt
title	Some properties of Umar semigroups: isomorphism theorems, ranks and maximal inverse subsemigroups
title_short	Some properties of Umar semigroups: isomorphism theorems, ranks and maximal inverse subsemigroups
title_full	Some properties of Umar semigroups: isomorphism theorems, ranks and maximal inverse subsemigroups
title_fullStr	Some properties of Umar semigroups: isomorphism theorems, ranks and maximal inverse subsemigroups
title_full_unstemmed	Some properties of Umar semigroups: isomorphism theorems, ranks and maximal inverse subsemigroups
title_sort	some properties of umar semigroups: isomorphism theorems, ranks and maximal inverse subsemigroups
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85046012547&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58807
_version_	1681425134418657280

Some properties of Umar semigroups: isomorphism theorems, ranks and maximal inverse subsemigroups

Similar Items