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

Year 2019, Volume: 48 Issue: 5, 1286 - 1303, 08.10.2019

Hojjat Mostafanasab Ahmad Yousefian Darani

https://doi.org/10.15672/hujms.592974

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

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