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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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 |
work_keys_str_mv |
AT mhhooshmand astudyofregulargrouplikes AT srahimian astudyofregulargrouplikes AT mhhooshmand studyofregulargrouplikes AT srahimian studyofregulargrouplikes |
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