Anti-automorphisms satisfying an Engel condition

作者：Lee Tsiu Kwen^*

来源：Communications in Algebra, 2017, 45(9): 4030-4036.

DOI：10.1080/00927872.2016.1255894

• Anti-automorphism
• commuting map
• Engel condition
• involution
• m-power commuting map
• semiprime ring

Let R be a semiprime ring with an anti-automorphism , which is of finite order. It is proved that if [[ ... [tau (x), x(n1)], ...], x(nk)] = 0 for all x is an element of R, where n(1), n(2), ... , n(k) are k fixed positive integers, then is a commuting map. Moreover, commuting anti-automorphisms of semiprime rings are also characterized.

• 出版日期2017