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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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Інститут прикладної математики і механіки НАН України
2015
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/155149 |
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irk-123456789-1551492019-06-17T01:27:18Z Cyclic left and torsion-theoretic spectra of modules and their relations Maloid-Glebova, M. 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. 2015 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/155149 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Maloid-Glebova, M. |
| spellingShingle |
Maloid-Glebova, M. Cyclic left and torsion-theoretic spectra of modules and their relations Algebra and Discrete Mathematics |
| author_facet |
Maloid-Glebova, M. |
| author_sort |
Maloid-Glebova, M. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT maloidglebovam cyclicleftandtorsiontheoreticspectraofmodulesandtheirrelations |
| first_indexed |
2023-05-20T17:46:10Z |
| last_indexed |
2023-05-20T17:46:10Z |
| _version_ |
1796154046146412544 |