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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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2019
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/610 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543310925004800 |
|---|---|
| author | Ferreira, Bruno |
| author_facet | Ferreira, Bruno |
| author_sort | Ferreira, Bruno |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2019-10-20T08:14:09Z |
| 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. |
| first_indexed | 2025-12-02T15:27:02Z |
| format | Article |
| id | admjournalluguniveduua-article-610 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:27:02Z |
| publishDate | 2019 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | 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 |
| spellingShingle | elementary maps alternative rings additivity 17A36 17D99 Ferreira, Bruno Additivity of elementary maps on alternative rings |
| title | 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_short | Additivity of elementary maps on alternative rings |
| title_sort | additivity of elementary maps on alternative rings |
| topic | elementary maps alternative rings additivity 17A36 17D99 |
| topic_facet | elementary maps alternative rings additivity 17A36 17D99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/610 |
| work_keys_str_mv | AT ferreirabruno additivityofelementarymapsonalternativerings |