Multiplication semimodules

Let S be a semiring. An S-semimodule M is called a multiplication semimodule if for each subsemimodule N of M there exists an ideal I of S such that N = IM. In this paper we investigate some properties of multiplication semimodules and generalize some results on multiplication modules to semimodules...

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Bibliographic Details
Main Authors: Nazari Rafieh Razavi, Ghalandarzadeh Shaban
Format: Article
Language:English
Published: Sciendo 2019-08-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
Online Access:https://doi.org/10.2478/ausm-2019-0014