An Approach Between the Multiplicative and Additive Structure of a Jordan Ring

An Approach Between the Multiplicative and Additive Structure of a Jordan Ring

Let J and J ′ be Jordan rings. In this paper we study the additivity of n -multiplicative isomorphisms from J onto J ′ and of n -multiplicative derivations of J . Suppose that J contains a nontrivial idempotent; we prove that if J satisfying certain conditions, then n -multiplicative maps and n -mul...

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Veröffentlicht in:Bulletin of the Iranian Mathematical Society 2021-08, Vol.47 (4), p.961-975
Hauptverfasser: Ferreira, Bruno Leonardo Macedo, Guzzo, Henrique, Ferreira, Ruth Nascimento
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Original Paper
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Zusammenfassung:Let J and J ′ be Jordan rings. In this paper we study the additivity of n -multiplicative isomorphisms from J onto J ′ and of n -multiplicative derivations of J . Suppose that J contains a nontrivial idempotent; we prove that if J satisfying certain conditions, then n -multiplicative maps and n -multiplicative derivations from J to J ′ are additive maps.
ISSN:1017-060X
1735-8515
DOI:10.1007/s41980-020-00423-4