Endomorphism Semirings of Dedekind Semimodules

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


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.

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