T-semihollow-lifting modules

摘要

Let S be a unitary left module over a ring. with 1. In this paper, we introduced the concept of T-semihollow-lifting module as follows, an T-module F is T-semihollow-lifting if for each submodule H' of F and F/H T-semihollow, there exists a submodule W of F s.t F= W circle plus W* and W subset of(Tsce) H in F. Also, we illustrate it by some examples and give some basic properties.