*-Jordan-type maps on alternative *-algebras
Aline J. O. Andrade, Bruno L. M. Ferreira, Liudmila Sabinina
TL;DR
This paper characterizes multiplicative *-Jordan-type maps on alternative *-algebras, expanding understanding of their structure and properties within algebraic systems with involution.
Contribution
It provides a new characterization of multiplicative *-Jordan-type maps specifically on alternative *-algebras, a less explored algebraic structure.
Findings
Characterization of multiplicative *-Jordan-type maps
Application to alternative *-algebras with symmetric idempotents
Insights into algebraic structure and involution properties
Abstract
Let A and A' be two alternative *-algebras with identities 1_A and 1_A', respectively, and e_1 and e_2 = 1_A - e_1 nontrivial symmetric idempotents in A. In this paper we study the characterization of multiplicative *-Jordan-type maps on alternative algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Operator Algebra Research · Neuroendocrine Tumor Research Advances