On Strongly Semiprime Modules and Submodules Submodules

Hai Q. Dinh, Nguyen Trong Bac, Nico Johannes Groenewald, Dong Thi Hong Ngoc

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  • Support Team

Keywords:

strongly prime submodules, strongly semiprime submodules, multiplicative systems and strongly prime radical, dr-submodules, Kaplansky-Cohen theorem

Abstract

We provide the notion of strongly semiprime submodules of a given right $R$-module $M$ and describe properties of them as a generalization of completely semiprime ideals in associative rings. We show that a proper fully invariant submodule of $M$ is strongly prime if and only if it is prime andstrongly semiprime.

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Published

2018-12-01

How to Cite

Team, S. (2018). On Strongly Semiprime Modules and Submodules Submodules: Hai Q. Dinh, Nguyen Trong Bac, Nico Johannes Groenewald, Dong Thi Hong Ngoc. Thai Journal of Mathematics, 16(3), 577–590. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/812

Issue

Vol. 16 No. 3 (2018): December

Section

Articles