Year:2023   Volume: 5   Issue: 1   Area:

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Inas Salman OBAID, Mukdad Qaess HUSSAIN


Let there be a left-unitary Module over ring R which has identity called K. In this paper, we ‎presented an introduction to the idea of T-hollow-lifting Module. An R -Module K is T-hollow ‎lifting Module if, K/U T-hollow for each Submodule U of K , ∃ a Submodule V of K satisfies the ‎following conditions:. K = V⨁V* and V⊆_Tce U in K In addition to this, we show it with ‎various instances and describe some of its fundamental aspects.

Keywords: T-Small Submodule, T-Lifting Modules, T-Hollow Modules.