This article is cited in 1 paper

RESEARCH ARTICLE

Generalizations of semicoprime preradicals

Ahmad Yousefian Darani, Hojjat Mostafanasab

Department of Mathematics and Applications, University of Mohaghegh Ardabili, P. O. Box 179, Ardabil, Iran

Abstract: This article introduces the notions quasi-co-$n$-absorbing preradicals and semi-co-$n$-absorbing preradicals, generalizing the concept of semicoprime preradicals. We study the concepts quasi-co-$n$-absorbing submodules and semi-co-$n$-absorbing submodules and their relations with quasi-co-$n$-absorbing preradicals and semi-co-$n$-absorbing preradicals using the lattice structure of preradicals.

Keywords: lattice, preradical, quasi-co-$n$-absorbing, semi-co-$n$-absorbing.

MSC: 16N99, 16S99, 06C05, 16N20

Received: 21.09.2015
Revised: 27.11.2015

Language: English

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