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

Authors : Hojjat MOSTAFANASAB, Ahmad YOUSEFİAN DARANİ

Pages : 1286-1303

Doi:10.15672/hujms.592974

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Publication Date : 2019-10-08

Article Type : Research Paper

Abstract :The aim of this paper is to introduce the notions of quasi-$n$-absorbing preradicals and of semi-$n$-absorbing preradicals. These notions are inspired by applying the concept of $n$-absorbing preradicals to semiprime preradicals. Also, we study the concepts of quasi-$n$-absorbing submodules and of semi-$n$-absorbing submodules and their relations with quasi-$n$-absorbing preradicals and semi-$n$-absorbing preradicals.
Keywords : lattice, preradical, quasi n absorbing, semi n absorbing