2019/11/08 by Shavkat Ayupov, Ayupov, Shavkat, Farhodjon Arzikulov +5
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #17A36 #17C65 #47A05 #47B47 #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Operator Algebras (math.OA) #Rings and Algebras (math.RA) #Sphingolipid Metabolism and Signaling
paper · pdf · doi:10.48550/arxiv.1911.03194
openalex publication_date 2019/11/08 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
In the present paper we introduce and investigate the notion of 2-local\nlinear map on vector spaces. A sufficient condition is obtained for linearity\nof a 2-local linear map on finite dimensional vector spaces. Based on this\nresult we prove that every 2-local derivation on a finite dimensional formally\nreal Jordan algebra is a derivation. Also we show that every 2-local\n1-automorphism (i.e. implemented by single symmetries) of mentioned Jordan\nalgebras is an automorphism.\n