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Algebra and Discrete Mathematics, 2016, Volume 21, Issue 2, Pages 214–238
(Mi adm564)
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This article is cited in 1 scientific paper (total 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.
Received: 21.09.2015 Revised: 27.11.2015
Citation:
Ahmad Yousefian Darani, Hojjat Mostafanasab, “Generalizations of semicoprime preradicals”, Algebra Discrete Math., 21:2 (2016), 214–238
Linking options:
https://www.mathnet.ru/eng/adm564 https://www.mathnet.ru/eng/adm/v21/i2/p214
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Abstract page: | 149 | Full-text PDF : | 65 | References: | 30 |
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