Principally quasi-injective semimodules

الملخص EN

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 "B be an Jl-semimodule with endomorphism semiring $.

The semimodule 'B is called principally quasi-injective.

if every 31 -homomorphism from any cyclic subsemimodule of B to S can be extended to anendomorphism of 3.