Nearly Projective Semimodules

Abstract

Other researchers have previously proposed and studied the concept of a nearly projective module. In this paper, the above concept will be analyzed for semimodules, along with related ideas. A semimodule Pis considered to beroughly projective if surjective-hom :A B, where A,B are any two semimodules, and  hom : P B, : P A homs.t = where π:B B/J(B) is the natural map.