Research Article
Generalization of Semi-Projective Modules
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 83 - Issue 8 |
| Published: December 2013 |
| Authors: Manoj Kumar Patel, B. M. Pandeya, V. Kumar |
10.5120/14465-2757
|
Manoj Kumar Patel, B. M. Pandeya, V. Kumar . Generalization of Semi-Projective Modules. International Journal of Computer Applications. 83, 8 (December 2013), 1-6. DOI=10.5120/14465-2757
@article{ 10.5120/14465-2757,
author = { Manoj Kumar Patel,B. M. Pandeya,V. Kumar },
title = { Generalization of Semi-Projective Modules },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 83 },
number = { 8 },
pages = { 1-6 },
doi = { 10.5120/14465-2757 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A Manoj Kumar Patel
%A B. M. Pandeya
%A V. Kumar
%T Generalization of Semi-Projective Modules%T
%J International Journal of Computer Applications
%V 83
%N 8
%P 1-6
%R 10.5120/14465-2757
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper characterization of pseudo M-p-projective modules and quasi pseudo principally projective modules are given and discussed the various properties of it. It is proved that a pseudoM-pprojective module is Hopfian iff M=N is Hopfian, for each fully invariant small submodule N of M. It is also provided the sufficient condition for pseudo M-p-projective module to be discrete. Finally several equivalent conditions are given for a quasi pseudo principally projective module to have the finite exchange property.
References
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