Dedekind Multiplication Semimodules

  • 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
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. 

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
Section
Mathematics

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