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 .
Keywords
Principally quasi-injective semimodules, (injective, quasi-injective) semimodules, semimodules
Article Type
Article
How to Cite this Article
S. H. Aljebory, Khitam and M. A. Alhossaini, Assad
(2019)
"Principally Quasi-Injective Semimodules,"
Baghdad Science Journal: Vol. 16:
Iss.
4, Article 18.
DOI: https://doi.org/10.21123/bsj.2019.16.4.0928
COinS
