2022
DOI: 10.1142/s0219498824500154
|View full text |Cite
|
Sign up to set email alerts
|

Reverse ∗-Jordan type maps on Jordan ∗-algebras

Abstract: Let [Formula: see text] and [Formula: see text] be two ∗-Jordan algebras with identities [Formula: see text] and [Formula: see text], respectively, and [Formula: see text] a nontrivial ∗-idempotent in [Formula: see text]. In this paper, we study the characterization of multiplicative ∗-Jordan-type maps. In particular, we provide a characterization in the case of unital prime associative algebra endowed with an involution.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2

Citation Types

0
2
0

Year Published

2022
2022
2023
2023

Publication Types

Select...
3

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(2 citation statements)
references
References 21 publications
0
2
0
Order By: Relevance
“…For the case of non-associative rings and algebras having nontrivial idempotents, additivity of various maps defined on them has already been proved in the literature. In alternative rings, we can mention the works in [6,7,8,9,10,11,12,13].…”
Section: Introductionmentioning
confidence: 99%
“…For the case of non-associative rings and algebras having nontrivial idempotents, additivity of various maps defined on them has already been proved in the literature. In alternative rings, we can mention the works in [6,7,8,9,10,11,12,13].…”
Section: Introductionmentioning
confidence: 99%
“…The study on characterizations of certain maps on non-associative algebraic structures has become an active and broad line of research in recent years, we can mention [2,5,6,7,8,9,10,11]. For the case of associative structures Brešar and Fošner in [1,12], presented the following definition: for a, b ∈ R, where R is a * -ring, we denote by {a, b} * = ab + ba * and [a, b] * = ab − ba * the * -Jordan product and the * -Lie product, respectively.…”
Section: Introductionmentioning
confidence: 99%