Additivity of elementary maps on alternative rings
Let ℜ and ℜ′ be alternative rings. In this article we investigate the additivity of surjective elementary maps of ℜ × ℜ′. As a main theorem, we prove that if ℜ idempotent satisfying some conditions, these maps are additive.
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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2019 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188479 |
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| Цитувати: | Additivity of elementary maps on alternative rings / B.L.M. Ferreira // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 1. — С. 94–106. — Бібліогр.: 7 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188479 |
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dspace |
| spelling |
irk-123456789-1884792023-03-03T01:26:53Z Additivity of elementary maps on alternative rings Ferreira, B.L.M. Let ℜ and ℜ′ be alternative rings. In this article we investigate the additivity of surjective elementary maps of ℜ × ℜ′. As a main theorem, we prove that if ℜ idempotent satisfying some conditions, these maps are additive. 2019 Article Additivity of elementary maps on alternative rings / B.L.M. Ferreira // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 1. — С. 94–106. — Бібліогр.: 7 назв. — англ. 1726-3255 2010 MSC: 17A36, 17D99 http://dspace.nbuv.gov.ua/handle/123456789/188479 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let ℜ and ℜ′ be alternative rings. In this article we investigate the additivity of surjective elementary maps of ℜ × ℜ′. As a main theorem, we prove that if ℜ idempotent satisfying some conditions, these maps are additive. |
| format |
Article |
| author |
Ferreira, B.L.M. |
| spellingShingle |
Ferreira, B.L.M. Additivity of elementary maps on alternative rings Algebra and Discrete Mathematics |
| author_facet |
Ferreira, B.L.M. |
| author_sort |
Ferreira, B.L.M. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2019 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188479 |
| citation_txt |
Additivity of elementary maps on alternative rings / B.L.M. Ferreira // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 1. — С. 94–106. — Бібліогр.: 7 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT ferreirablm additivityofelementarymapsonalternativerings |
| first_indexed |
2023-10-18T23:08:27Z |
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2023-10-18T23:08:27Z |
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1796157352484798464 |