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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2015 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155149 |
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| Cite this: | 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| id |
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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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Cyclic left and torsion-theoretic spectra of modules and their relations |
| spellingShingle |
Cyclic left and torsion-theoretic spectra of modules and their relations Maloid-Glebova, M. |
| 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 |
| author |
Maloid-Glebova, M. |
| author_facet |
Maloid-Glebova, M. |
| publishDate |
2015 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155149 |
| 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. |
| work_keys_str_mv |
AT maloidglebovam cyclicleftandtorsiontheoreticspectraofmodulesandtheirrelations |
| first_indexed |
2025-12-07T17:50:59Z |
| last_indexed |
2025-12-07T17:50:59Z |
| _version_ |
1850872807503691776 |