Generalizations of semicoprime preradicals
Algebra and discrete mathematics, Tome 21 (2016) no. 2, pp. 214-238

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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.
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     author = {Ahmad Yousefian Darani and Hojjat Mostafanasab},
     title = {Generalizations of semicoprime preradicals},
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Ahmad Yousefian Darani; Hojjat Mostafanasab. Generalizations of semicoprime preradicals. Algebra and discrete mathematics, Tome 21 (2016) no. 2, pp. 214-238. http://geodesic.mathdoc.fr/item/ADM_2016_21_2_a4/