Research Article
New View of Ideals on PU-Algebra
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 111 - Issue 4 |
| Published: February 2015 |
| Authors: Samy M. Mostafa, Mokhtar A. Abdel Naby, Alaa Eldin I. Elkabany |
10.5120/19524-1153
|
Samy M. Mostafa, Mokhtar A. Abdel Naby, Alaa Eldin I. Elkabany . New View of Ideals on PU-Algebra. International Journal of Computer Applications. 111, 4 (February 2015), 9-15. DOI=10.5120/19524-1153
@article{ 10.5120/19524-1153,
author = { Samy M. Mostafa,Mokhtar A. Abdel Naby,Alaa Eldin I. Elkabany },
title = { New View of Ideals on PU-Algebra },
journal = { International Journal of Computer Applications },
year = { 2015 },
volume = { 111 },
number = { 4 },
pages = { 9-15 },
doi = { 10.5120/19524-1153 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2015
%A Samy M. Mostafa
%A Mokhtar A. Abdel Naby
%A Alaa Eldin I. Elkabany
%T New View of Ideals on PU-Algebra%T
%J International Journal of Computer Applications
%V 111
%N 4
%P 9-15
%R 10.5120/19524-1153
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this manuscript, we introduce a new concept, which called PU-algebra X . We state and prove some theorems about fundamental properties of it. Moreover ,we give the concepts of a weak right self-maps, weak left self-maps and investigated some its properties. Further, we have proved that every associative PU-algebra is a group and every p-semisimple algebra is an abelian group. We define the centre of a PU-algebra X and show that it is a p-semisimple sub-algebra of X, which consequently implies that every PU-algebra contains a p-semisimple PU-algebra . Furthermore, we give the concepts of ideals ( -ideals , i=1,2,3,4) in PU-algebra , classified they into classes correspond to various formula and we have proved that, they are coincide . Mathematics Subject Classification: 06F35, 03G25, 08A30.
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