Endomorphism Semirings of Dedekind Semimodules

  • Ahmed H. Alwan, Asaad M. A. Alhossaini

Abstract

The aim of this paper is to study the concept of a semiring of endomorphisms of a

(Dedekind) semimodules (or simply semimodules).Here we prove that wheneveris asemimodule thenevery non-zero element ofis a monomorphism,and sois entire semiring. In this paper we prove that ifis an ideal of a semiringthen under some conditions we get is commutative semiring. This  paper  is  devoted  to prove wheneveris a dualizablesemimodule over a semiringand under certain condition thenis commutative entire semiring.

 Keywords: Dedekind semimodule, Entire semiring, Invertible subsemimodule, Semidomain.

Published
2020-06-03
How to Cite
Ahmed H. Alwan, Asaad M. A. Alhossaini. (2020). Endomorphism Semirings of Dedekind Semimodules. International Journal of Advanced Science and Technology, 29(04), 2361 - 2369. Retrieved from http://sersc.org/journals/index.php/IJAST/article/view/20326