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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2019 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188479 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862545451973083136 |
|---|---|
| author | Ferreira, B.L.M. |
| author_facet | Ferreira, B.L.M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-11-25T08:01:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188479 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T08:01:25Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Ferreira, B.L.M. 2023-03-02T15:24:32Z 2023-03-02T15:24:32Z 2019 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 https://nasplib.isofts.kiev.ua/handle/123456789/188479 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Additivity of elementary maps on alternative rings Article published earlier |
| spellingShingle | Additivity of elementary maps on alternative rings Ferreira, B.L.M. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188479 |
| work_keys_str_mv | AT ferreirablm additivityofelementarymapsonalternativerings |