两类半素代数的结构

The structures of two kinds of semi-prime algebras

给出域F上的两类半素ES-代数的结构定理 :若A的所有幂零元 (幂等元 )张成的F -子空间是有限维的 。

Discusses the structure of a semi-prime ES-algebra Aover a field F, that is, if the F-subspace generated by all nilpotents or idempotents in A is a finite dimensional space, then AD 1D 2...D mM n 1(D′ 1)...M n k(D′ k), where D i(1≤i≤m)is a division algebra, n j≥2, D′ j(1≤j≤k)is a finite dimensional division algebra.