Hollow R-Annihilator ?-Lifting Modules

Gorle S K, Wadbude R S

Abstract: In this paper we introduced the new concept hollow R- annihilator-δ-lifting module by the help of R- annihilator-small submodule δ- lifting module and R- annihilator-δ-lifting module. These concepts were introduced by [4], [5], [12], [19]. Let be an indecomposable module. is hollow R-α- δ- lifting module if and only if is hollow R-α- δ-- lifting module but need not be factor module is δ-lifting module.

Keywords: δ-small submodule, ?-essential submodule, δ-co-essential submodule, δ-co-closed submodule, R- annihilator co-essential submodule, R- annihilator δ-submodule, δ-hollow module and δ-lifting module

How to Cite?: Gorle S K, Wadbude R S, "Hollow R-Annihilator ?-Lifting Modules", Volume 14 Issue 9, September 2025, International Journal of Science and Research (IJSR), Pages: 123-131, https://www.ijsr.net/getabstract.php?paperid=SR25904205628, DOI: https://dx.doi.org/10.21275/SR25904205628