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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| Datum: | 2020 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2020
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1112 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543128690884608 |
|---|---|
| author | Bilgin, Zehra Koç, Suat Özkirişci, Ayşen |
| author_facet | Bilgin, Zehra Koç, Suat Özkirişci, Ayşen |
| author_sort | Bilgin, Zehra |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-02-10T19:12:26Z |
| 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. |
| first_indexed | 2026-02-08T07:58:18Z |
| format | Article |
| id | admjournalluguniveduua-article-1112 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:18Z |
| publishDate | 2020 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-11122020-02-10T19:12:26Z Strongly prime submodules and strongly 0-dimensional modules Bilgin, Zehra Koç, Suat Özkirişci, Ayşen strongly prime submodule, strongly 0-dimensional module, multiplication module, quasi-Zariski topology Primary 13A15, 13A99, 13C05, 13C99; Secondary 13E15, 13E99 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. Lugansk National Taras Shevchenko University 2020-02-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1112 Algebra and Discrete Mathematics; Vol 28, No 2 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1112/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1112/344 Copyright (c) 2020 Algebra and Discrete Mathematics |
| spellingShingle | strongly prime submodule strongly 0-dimensional module multiplication module quasi-Zariski topology Primary 13A15 13A99 13C05 13C99; Secondary 13E15 13E99 Bilgin, Zehra Koç, Suat Özkirişci, Ayşen Strongly prime submodules and strongly 0-dimensional modules |
| 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 |
| topic | strongly prime submodule strongly 0-dimensional module multiplication module quasi-Zariski topology Primary 13A15 13A99 13C05 13C99; Secondary 13E15 13E99 |
| topic_facet | strongly prime submodule strongly 0-dimensional module multiplication module quasi-Zariski topology Primary 13A15 13A99 13C05 13C99; Secondary 13E15 13E99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1112 |
| work_keys_str_mv | AT bilginzehra stronglyprimesubmodulesandstrongly0dimensionalmodules AT kocsuat stronglyprimesubmodulesandstrongly0dimensionalmodules AT ozkirisciaysen stronglyprimesubmodulesandstrongly0dimensionalmodules |