关键词: Jordan同态, 三角环, Jordan同构, 套代数

Abstract: The author gave a sufficient condition for a surjective Jordan homomorphisms to be a homomorphisms or an antihomomorphisms in the nest algebra, and proved that every surjective Jordan homomorphism between finite dimensional nest algebras must be a homomorphism or an antihomomorphism.

Key words: Jordan isomorphism, triangular ring, Jordan homomorphism, nest algebra