Strongly K-nonsingular Modules

Main Article Content

Tha'ar Younis Ghawi

Abstract

       A submodule N of a module M  is said to be s-essential if it has nonzero intersection with any nonzero small submodule in M. In this article, we introduce and study a class of modules in which all its nonzero endomorphisms have non-s-essential kernels, named, strongly -nonsigular. We investigate some properties of strongly -nonsigular modules. Direct summand, direct sums and some connections of such modules are discussed.        

Article Details

How to Cite
Ghawi, T. Y. (2019). Strongly K-nonsingular Modules. Ibn AL- Haitham Journal For Pure and Applied Sciences, 32(1), 167–177. https://doi.org/10.30526/32.1.1919
Section
mathematics
Author Biography

Tha'ar Younis Ghawi, Arabia

Doctoral of Mathematics/Algebra/ Modules Theory