Strongly K-nonsingular Modules

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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.        

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How to Cite
GHAWI, Tha'ar Younis. Strongly K-nonsingular Modules. Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 32, n. 1, p. 167-177, jan. 2019. ISSN 2521-3407. Available at: <http://jih.uobaghdad.edu.iq/index.php/j/article/view/1919>. Date accessed: 18 june 2019. doi: http://dx.doi.org/10.30526/32.1.1919.
Section
mathematics