An International Publisher for Academic and Scientific Journals
Author Login
Scholars Journal of Physics, Mathematics and Statistics | Volume-5 | Issue-03
On Pseudo Hopfian R-modules
Nada Khalid, Adwar H. Salih
Published: June 30, 2018 |
141
66
DOI: 10.21276/sjpms.2018.5.3.5
Pages: 212-215
Downloads
Abstract
In the present paper we introduced and investigate a new definition of pseudo
Hopfian R-Module. An R-Module Ӎ is said to be pseudo Hopfian when any surjection
with closed kernel, (i.e) any surjective is split. Several
characterizations and fundamental properties concerning of pseudo Hopfian R-Module
are obtained, furthermore some interesting examples are discussed.
Keywords: Hopfian R- module, semi Hopfian R- module, pseudo Hopfian R-Module,
closed kernel, extension R-module