Abstract
Let S be a unitary left module over a ring ℝ 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 of F and T-semihollow, ∃ a submodule W of F s.t F= W ⊕ W* and in F. Also, we illustrate it by some examples and give some basic properties.
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