On maps preserving some identities on nonassociative algebraic structures
Groups and noncommutative algebra: interactions and applications
| Full text | |
| Author(s): |
Macedo Ferreira, Bruno Leonardo
;
Guzzo Jr, Henrique
;
Ferreira, Ruth Nascimento
Total Authors: 3
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY; v. 47, n. 4, p. 15-pg., 2020-07-04. |
| Abstract | |
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' a are additive maps. (AU) | |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |