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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2015 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2015
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155149 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Cyclic left and torsion-theoretic spectra of modules and their relations / M. Maloid-Glebova // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 286-296. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862714408748187648 |
|---|---|
| author | Maloid-Glebova, M. |
| author_facet | Maloid-Glebova, M. |
| citation_txt | Cyclic left and torsion-theoretic spectra of modules and their relations / M. Maloid-Glebova // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 286-296. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T17:50:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155149 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T17:50:59Z |
| publishDate | 2015 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Maloid-Glebova, M. 2019-06-16T09:53:35Z 2019-06-16T09:53:35Z 2015 Cyclic left and torsion-theoretic spectra of modules and their relations / M. Maloid-Glebova // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 2. — С. 286-296. — Бібліогр.: 9 назв. — англ. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/155149 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Cyclic left and torsion-theoretic spectra of modules and their relations Article published earlier |
| spellingShingle | Cyclic left and torsion-theoretic spectra of modules and their relations Maloid-Glebova, M. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155149 |
| work_keys_str_mv | AT maloidglebovam cyclicleftandtorsiontheoreticspectraofmodulesandtheirrelations |