Strongly K-nonsingular Modules

Authors

  • Tha'ar Younis Ghawi Arabia

DOI:

https://doi.org/10.30526/32.1.1919

Keywords:

: Modules; S-essential submodules; nonsingular modules; Strongly K-nonsigular modules.

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.        

Author Biography

  • Tha'ar Younis Ghawi, Arabia

    Doctoral of Mathematics/Algebra/ Modules Theory 

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Published

20-Jan-2019

Issue

Section

Mathematics

Publication Dates