Additivity of elementary maps on alternative rings
Let \(\mathfrak{R}\) and \(\mathfrak{R}'\) be alternative rings. In this article we investigate the additivity of surjective elementary maps of \({\mathfrak{R}\times \mathfrak{R}'}\). As a main theorem, we prove that if \(\mathfrak{R}\) contains a non-trivial idempotent satisfying some con...
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| Дата: | 2019 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2019
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/610 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-610 |
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admjournalluguniveduua-article-6102019-10-20T08:14:09Z Additivity of elementary maps on alternative rings Ferreira, Bruno elementary maps, alternative rings, additivity 17A36, 17D99 Let \(\mathfrak{R}\) and \(\mathfrak{R}'\) be alternative rings. In this article we investigate the additivity of surjective elementary maps of \({\mathfrak{R}\times \mathfrak{R}'}\). As a main theorem, we prove that if \(\mathfrak{R}\) contains a non-trivial idempotent satisfying some conditions, these maps are additive. Lugansk National Taras Shevchenko University 2019-10-20 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/610 Algebra and Discrete Mathematics; Vol 28, No 1 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/610/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/610/589 Copyright (c) 2019 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2019-10-20T08:14:09Z |
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OJS |
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English |
| topic |
elementary maps alternative rings additivity 17A36 17D99 |
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elementary maps alternative rings additivity 17A36 17D99 Ferreira, Bruno Additivity of elementary maps on alternative rings |
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elementary maps alternative rings additivity 17A36 17D99 |
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Article |
| author |
Ferreira, Bruno |
| author_facet |
Ferreira, Bruno |
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Ferreira, Bruno |
| title |
Additivity of elementary maps on alternative rings |
| title_short |
Additivity of elementary maps on alternative rings |
| title_full |
Additivity of elementary maps on alternative rings |
| title_fullStr |
Additivity of elementary maps on alternative rings |
| title_full_unstemmed |
Additivity of elementary maps on alternative rings |
| title_sort |
additivity of elementary maps on alternative rings |
| description |
Let \(\mathfrak{R}\) and \(\mathfrak{R}'\) be alternative rings. In this article we investigate the additivity of surjective elementary maps of \({\mathfrak{R}\times \mathfrak{R}'}\). As a main theorem, we prove that if \(\mathfrak{R}\) contains a non-trivial idempotent satisfying some conditions, these maps are additive. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2019 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/610 |
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AT ferreirabruno additivityofelementarymapsonalternativerings |
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2025-12-02T15:27:02Z |
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2025-12-02T15:27:02Z |
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