Generalizations of semicoprime preradicals
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-...
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| Date: | 2016 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2016
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/14 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| Summary: | 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. |
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