Dedekind Multiplication Semimodules

Ahmed H. Alwan; Asaad M. A.  Alhossaini

doi:10.24996/ijs.2020.61.6.29

Authors

Ahmed H. Alwan Department of Mathematics, College of Education for Pure Sciences, Thi-Qar University, Thi-Qar, Iraq
Asaad M. A. Alhossaini Department of Mathematic, College of Education for Pure Sciences, Babylon University, Babylon, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.6.29

Keywords:

Semirings, semimodules, invertible subsemimodules, Dedekind semirings, Dedekind semimodules, multiplication semimodules

Abstract

The aim of this paper is to introduce the concept of Dedekind semimodules and study the related concepts, such as the class of semimodules, and Dedekind multiplication semimodules . And thus study the concept of the embedding of a semimodule in another semimodule.