Multiplicative lie isomorphisms between prime rings

作者：Bai Zhaofang; Du Shuanping^*; Hou Jinchuan

来源：Communications in Algebra, 2008, 36(5): 1626-1633.

DOI：10.1080/00927870701870475

• multiplicative Lie isomorphism
• prime ring

Let R be a prime ring with 1 containing a nontrivial idempotent E, and let R'; be another prime ring. If Phi : R -> R'; is a multiplicative Lie isomorphism, then Phi (T + S) = Phi (T) + Phi(S) + Z';(T,S) for all T, S is an element of R, where Z';(T,S) is an element in the center L'; of R'; depending on T and S.

• 出版日期2008-5
• 单位厦门大学; 太原理工大学; 山西师范大学