Multiplicative Jordan n-higher derivations on alternative rings containing idempotents

Autor:	Ab Hamid Kawa, S. N. Hasan, B. A. Wani
Rok vydání:	2022
Předmět:	General Mathematics
Zdroj:	Asian-European Journal of Mathematics. 16
ISSN:	1793-7183 1793-5571
DOI:	10.1142/s179355712350081x
Popis:	Suppose [Formula: see text] is an alternative ring containing a non-trivial idempotent and [Formula: see text] be a mapping from [Formula: see text] into itself. In this paper, we study the Jordan n-higher derivations on alternative rings and prove that under some mild conditions every multiplicative Jordan n-higher derivations on [Formula: see text] is additive. It is to be noted that the similarity to the notions is only in its written form, but not in its theoretical structures, because the Pierce decomposition used in the results for alternative rings is the generalization of the Pierce decomposition for associative rings.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::910c1dc4f9e9829a1c66c4ffe7302496 https://doi.org/10.1142/s179355712350081x Zobrazit plný text záznamu