Strongly prime submodules and strongly 0-dimensional modules
In this work, we study strongly prime submodules and strongly 0-dimensional modules. We give some equivalent conditions for being a strongly 0-dimensional module. Besides we show that the quasi-Zariski topology on the spectrum of a strongly 0-dimensional module satisfies all separation axioms and it...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2019 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188486 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Strongly prime submodules and strongly 0-dimensional modules / Z. Bilgin, S. Koç, N.A. Özkirişci // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 2. — С. 171–183. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862684990773395456 |
|---|---|
| author | Bilgin, Z. Koç, S. Özkirişci, N.A. |
| author_facet | Bilgin, Z. Koç, S. Özkirişci, N.A. |
| citation_txt | Strongly prime submodules and strongly 0-dimensional modules / Z. Bilgin, S. Koç, N.A. Özkirişci // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 2. — С. 171–183. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this work, we study strongly prime submodules and strongly 0-dimensional modules. We give some equivalent conditions for being a strongly 0-dimensional module. Besides we show that the quasi-Zariski topology on the spectrum of a strongly 0-dimensional module satisfies all separation axioms and it is a metrizable space.
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| first_indexed | 2025-12-07T15:59:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188486 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:59:43Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Bilgin, Z. Koç, S. Özkirişci, N.A. 2023-03-02T19:10:47Z 2023-03-02T19:10:47Z 2019 Strongly prime submodules and strongly 0-dimensional modules / Z. Bilgin, S. Koç, N.A. Özkirişci // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 2. — С. 171–183. — Бібліогр.: 16 назв. — англ. 1726-3255 2010 MSC: Primary 13A15, 13A99, 13C05, 13C99; Secondary 13E15, 13E99. https://nasplib.isofts.kiev.ua/handle/123456789/188486 In this work, we study strongly prime submodules and strongly 0-dimensional modules. We give some equivalent conditions for being a strongly 0-dimensional module. Besides we show that the quasi-Zariski topology on the spectrum of a strongly 0-dimensional module satisfies all separation axioms and it is a metrizable space. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Strongly prime submodules and strongly 0-dimensional modules Article published earlier |
| spellingShingle | Strongly prime submodules and strongly 0-dimensional modules Bilgin, Z. Koç, S. Özkirişci, N.A. |
| title | Strongly prime submodules and strongly 0-dimensional modules |
| title_full | Strongly prime submodules and strongly 0-dimensional modules |
| title_fullStr | Strongly prime submodules and strongly 0-dimensional modules |
| title_full_unstemmed | Strongly prime submodules and strongly 0-dimensional modules |
| title_short | Strongly prime submodules and strongly 0-dimensional modules |
| title_sort | strongly prime submodules and strongly 0-dimensional modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188486 |
| work_keys_str_mv | AT bilginz stronglyprimesubmodulesandstrongly0dimensionalmodules AT kocs stronglyprimesubmodulesandstrongly0dimensionalmodules AT ozkiriscina stronglyprimesubmodulesandstrongly0dimensionalmodules |