Principally Quasi-Injective Semimodules
Keyword(s):
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 .
2019 ◽
Vol 27
(1)
◽
pp. 11-31
Keyword(s):