International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
Volume 111 - Issue 4 |
Published: February 2015 |
Authors: Samy M. Mostafa, Mokhtar A. Abdel Naby, Alaa Eldin I. Elkabany |
![]() |
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
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.