Quasi-n-absorbing and semi-n-absorbing preradicals

Quasi-n-absorbing and semi-n-absorbing preradicals

The aim of this paper is to introduce the notions of quasi-n-absorbing preradicals andof semi-n-absorbing preradicals. These notions are inspired by applying the concept ofn-absorbing preradicals to semiprime preradicals. Also, we study the concepts of quasi-n-absorbing submodules and of semi-n-absorbing submodules and their relations withquasi-n-absorbing preradicals and semi-n-absorbing preradicals.

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