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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| Datum: | 2016 |
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Lugansk National Taras Shevchenko University
2016
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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2016-01-12T07:40:37Z |
| collection |
OJS |
| language |
English |
| topic |
strongly-prime ideal strongly-prime module cyclic spectrum torsion-theoretic spectrum localizations |
| 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 |
| topic_facet |
strongly-prime ideal strongly-prime module cyclic spectrum torsion-theoretic spectrum localizations |
| format |
Article |
| author |
Maloid-Glebova, Marta |
| author_facet |
Maloid-Glebova, Marta |
| author_sort |
Maloid-Glebova, Marta |
| title |
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_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_sort |
cyclic left and torsion-theoretic spectra of modules and their relations |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2016 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87 |
| work_keys_str_mv |
AT maloidglebovamarta cyclicleftandtorsiontheoreticspectraofmodulesandtheirrelations |
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2025-07-17T10:30:39Z |
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2025-07-17T10:30:39Z |
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1837889832776368128 |