素环与半素环上加法映射和微商的研究  

The Research into Additive Mappings and Derivations in Prime and Semiprime Rings

作　　者：张淑华[1] 

机构地区：[1]青岛化工学院,青岛266042

出　　处：《青岛化工学院学报（自然科学版）》1999年第4期372-378,共7页Journal of Qingdao Institute of Chemical Technology(Natural Science Edition)

摘　　要：综述了素环和半素环上中心映射、交换映射及微商与环R的交换性之间的关系及带有对合的素环和半素环上中心映射、交换映射及微商与环R的性质之间关系的研究结果。最后综述了这些中心映射交换映射及微商自身表达式的研究。The researches on the relations between additive mappings(concerning mainly withcentralizing mappings, commuting mappings and centralizing derivations)of prime or semiprimerings and the commutative property of the ring are reviewed. Also the properties of prime orsemipring rings with involution which a centralizing derivation on symmetric element or skewelement are referred to. Finally the form of centralizing mappings, commuting mappings andcentralizing derivations in prime or semiprime rings are presented.

关 键 词：素环 半素环 微商 加法映射 环论 

分 类 号：O153.3[理学—数学]