Affiliation:
1. Akdeniz University, Department of Mathematics, Antalya, Turkey
Abstract
This paper examines the radical formula in noncommutative case and for this
purpose, a generalization of prime submodule is defined. It is proved that
there is a direct connection between onesided prime ideals and one-sided
prime submodules. Moreover the connections between the intersection of all
one-sided prime submodules and strongly nilpotent elements of a module are
studied.
Publisher
National Library of Serbia
Cited by
2 articles.
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1. Matrix versions of Real and Quaternionic Nullstellensätze;Journal of Algebra;2022-11
2. On Prime Ideals Related to an Ideal in a Commutative Ring;Gazi University Journal of Science Part A: Engineering and Innovation;2021-12-01