A Study of Regular Grouplikes

. Recently, a new algebraic structure, namely grouplike, has been introduced and studied by the first author. A grouplike is something between semigroup and group with so close relations to groups. The grouplike axioms are generalizations of the four group axioms. In this paper, we study regular...

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Main Authors: M. H. Hooshmand, S. Rahimian
Format: Article
Language:English
Published: Islamic Azad University 2013-12-01
Series:Journal of Mathematical Extension
Online Access:http://ijmex.com/index.php/ijmex/article/view/220/133
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spelling doaj-fb6ecd0bdd6543fe9db1eae839120a132020-11-25T03:18:13ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992013-12-017419A Study of Regular GrouplikesM. H. Hooshmand0S. Rahimian1Shiraz Branch, Islamic Azad UniversityShiraz Branch, Islamic Azad University. Recently, a new algebraic structure, namely grouplike, has been introduced and studied by the first author. A grouplike is something between semigroup and group with so close relations to groups. The grouplike axioms are generalizations of the four group axioms. In this paper, we study regular and irregular grouplikes as a class of semigroups. The motivation of this study lies in some interesting properties of regular proper grouplikes.http://ijmex.com/index.php/ijmex/article/view/220/133
collection DOAJ
language English
format Article
sources DOAJ
author M. H. Hooshmand
S. Rahimian
spellingShingle M. H. Hooshmand
S. Rahimian
A Study of Regular Grouplikes
Journal of Mathematical Extension
author_facet M. H. Hooshmand
S. Rahimian
author_sort M. H. Hooshmand
title A Study of Regular Grouplikes
title_short A Study of Regular Grouplikes
title_full A Study of Regular Grouplikes
title_fullStr A Study of Regular Grouplikes
title_full_unstemmed A Study of Regular Grouplikes
title_sort study of regular grouplikes
publisher Islamic Azad University
series Journal of Mathematical Extension
issn 1735-8299
1735-8299
publishDate 2013-12-01
description . Recently, a new algebraic structure, namely grouplike, has been introduced and studied by the first author. A grouplike is something between semigroup and group with so close relations to groups. The grouplike axioms are generalizations of the four group axioms. In this paper, we study regular and irregular grouplikes as a class of semigroups. The motivation of this study lies in some interesting properties of regular proper grouplikes.
url http://ijmex.com/index.php/ijmex/article/view/220/133
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AT srahimian astudyofregulargrouplikes
AT mhhooshmand studyofregulargrouplikes
AT srahimian studyofregulargrouplikes
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