Dedekind Multiplication Semimodules

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. 

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Published

2020-06-27

How to Cite

Alwan, A. H., & Alhossaini, A. M. A. . (2020). Dedekind Multiplication Semimodules. Iraqi Journal of Science, 61(6), 1488–1497. https://doi.org/10.24996/ijs.2020.61.6.29

Issue

Section

Mathematics