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Principally Quasi-Injective Semimodules

Authors :
Aljebory
Source :
Baghdad Science Journal, Vol 16, Iss 4 (2019)
Publication Year :
2019
Publisher :
College of Science for Women, University of Baghdad, 2019.

Abstract

In this work, the notion of principally quasi- injective semimodule is introduced, discussing the conditions needed to get properties and characterizations similar or related to the case in modules. Let be an -semimodule with endomorphism semiring Ș. The semimodule is called principally quasi-injective, if every -homomorphism from any cyclic subsemimodule of to can be extended to an endomorphism of .

Details

Language :
Arabic
ISSN :
24117986 and 20788665
Volume :
16
Issue :
4
Database :
OpenAIRE
Journal :
Baghdad Science Journal
Accession number :
edsair.doi.dedup.....6c4f3675da6800530f5066390715c105