Cyclic left and torsion-theoretic spectra of modules and their relations
In this paper, strongly-prime submodules of a cyclic module are considered and their main properties are given. On this basis, a concept of a cyclic spectrum of a module is introduced. This spectrum is a generalization of the Rosenberg spectrum of a noncommutative ring. In addition, some natural pro...
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| Date: | 2016 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2016
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543322095484928 |
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| author | Maloid-Glebova, Marta |
| author_facet | Maloid-Glebova, Marta |
| author_sort | Maloid-Glebova, Marta |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2016-01-12T07:40:37Z |
| description | In this paper, strongly-prime submodules of a cyclic module are considered and their main properties are given. On this basis, a concept of a cyclic spectrum of a module is introduced. This spectrum is a generalization of the Rosenberg spectrum of a noncommutative ring. In addition, some natural properties of this spectrum are investigated, in particular, its functoriality is proved. |
| first_indexed | 2025-12-02T15:28:23Z |
| format | Article |
| id | admjournalluguniveduua-article-87 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:28:23Z |
| publishDate | 2016 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-872016-01-12T07:40:37Z Cyclic left and torsion-theoretic spectra of modules and their relations Maloid-Glebova, Marta strongly-prime ideal, strongly-prime module, cyclic spectrum, torsion-theoretic spectrum, localizations In this paper, strongly-prime submodules of a cyclic module are considered and their main properties are given. On this basis, a concept of a cyclic spectrum of a module is introduced. This spectrum is a generalization of the Rosenberg spectrum of a noncommutative ring. In addition, some natural properties of this spectrum are investigated, in particular, its functoriality is proved. Lugansk National Taras Shevchenko University 2016-01-12 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87 Algebra and Discrete Mathematics; Vol 20, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/87/18 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/87/30 Copyright (c) 2016 Algebra and Discrete Mathematics |
| spellingShingle | strongly-prime ideal strongly-prime module cyclic spectrum torsion-theoretic spectrum localizations Maloid-Glebova, Marta Cyclic left and torsion-theoretic spectra of modules and their relations |
| title | Cyclic left and torsion-theoretic spectra of modules and their relations |
| title_full | Cyclic left and torsion-theoretic spectra of modules and their relations |
| title_fullStr | Cyclic left and torsion-theoretic spectra of modules and their relations |
| title_full_unstemmed | Cyclic left and torsion-theoretic spectra of modules and their relations |
| title_short | Cyclic left and torsion-theoretic spectra of modules and their relations |
| title_sort | cyclic left and torsion-theoretic spectra of modules and their relations |
| topic | strongly-prime ideal strongly-prime module cyclic spectrum torsion-theoretic spectrum localizations |
| topic_facet | strongly-prime ideal strongly-prime module cyclic spectrum torsion-theoretic spectrum localizations |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87 |
| work_keys_str_mv | AT maloidglebovamarta cyclicleftandtorsiontheoreticspectraofmodulesandtheirrelations |