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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| Дата: | 2020 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2020
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| Онлайн доступ: | 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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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
strongly prime submodule strongly 0-dimensional module multiplication module quasi-Zariski topology Primary 13A15 13A99 13C05 13C99; Secondary 13E15 13E99 |
| 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 |
| topic_facet |
strongly prime submodule strongly 0-dimensional module multiplication module quasi-Zariski topology Primary 13A15 13A99 13C05 13C99; Secondary 13E15 13E99 |
| format |
Article |
| author |
Bilgin, Zehra Koç, Suat Özkirişci, Ayşen |
| author_facet |
Bilgin, Zehra Koç, Suat Özkirişci, Ayşen |
| author_sort |
Bilgin, Zehra |
| title |
Strongly prime submodules and strongly 0-dimensional modules |
| title_short |
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_sort |
strongly prime submodules and strongly 0-dimensional modules |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2020 |
| 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 |
| first_indexed |
2024-04-12T06:26:00Z |
| last_indexed |
2024-04-12T06:26:00Z |
| _version_ |
1796109216009682944 |