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On semiessential subsemimodules

In semimodules over semirings theory , essential subsemimodules and essential monomorphisms of semimodules was studied differently by some authors. This paper deals with the extension of essential subsemimodules to semiessential subsemimodules in following the process on essential submodules in module theory. We have define and characterize many new notions such as semiessential subsemimodules, semiessential monomorphisms, quasiessential monomorphisms, pseudoessential monomorphisms and $M$-complement subsemimodules. We compare that the class of semiessential semimodules and the class of essential semimodules.


Auteur(s) : Fall, Landing; Tsiba, Jean Raoul and Sow, Djiby
Pages : 175–191
Année de publication : 2011
Revue : JP J. Algebra Number Theory Appl.
N° de volume : 22
Type : Article
Mise en ligne par : SOW Djiby