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: Ferreira, B.L.M.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2019
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.

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