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 .
Publisher
College of Science for Women
Subject
General Physics and Astronomy,Agricultural and Biological Sciences (miscellaneous),General Biochemistry, Genetics and Molecular Biology,General Mathematics,General Chemistry,General Computer Science
Cited by
3 articles.
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1. Extending Semimodules over Semirings;Journal of Physics: Conference Series;2021-03-01
2. The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules;Baghdad Science Journal;2020-05-11
3. Image Electronics Information Sensing;The Journal of The Institute of Image Information and Television Engineers;2020