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New View of Ideals on PU-Algebra

by Samy M. Mostafa, Mokhtar A. Abdel Naby, Alaa Eldin I. Elkabany
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 111 - Number 4
Year of Publication: 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 },
issue_date = { February 2015 },
volume = { 111 },
number = { 4 },
month = { February },
year = { 2015 },
issn = { 0975-8887 },
pages = { 9-15 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume111/number4/19524-1153/ },
doi = { 10.5120/19524-1153 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:47:13.140674+05:30
%A Samy M. Mostafa
%A Mokhtar A. Abdel Naby
%A Alaa Eldin I. Elkabany
%T New View of Ideals on PU-Algebra
%J International Journal of Computer Applications
%@ 0975-8887
%V 111
%N 4
%P 9-15
%D 2015
%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.

References
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Index Terms

Computer Science
Information Sciences

Keywords

PU-algebra ideals of PU-algebra G-part and P-radical of a PU-algebra homomorphism of PU-algebra.

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