满足(xy)~n=x^sy^t条件的环的交换性  

Commutativity of Rings Satisfying (xy)~n=x^sy^t

作　　者：杨新松[1] 张海燕[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》1999年第4期103-104,共2页Journal of Harbin University of Science and Technology

摘　　要：证明了当R是Kothe半单纯环，若，均有依与它们的自然数n(x,y)＞1和s(x,y)与t(x，y)（2n≠s＋t），使得（xy)n=xsyt，则R是交换环的结论．In this paper, the conunutativity of a ring satisfying (xy)n=fsyt is studied and thefollowing result is proved: Suppose that R is a Kothe selin-simple ring, if there arepositive integers n(x, y)>1 and t(x, y) satisfying 2n≠s+t and (xy)n=xsyt, then R is commtative.

关 键 词：半单纯环 交换性 本原环 交换环 Kothe半单纯环 

分 类 号：O153.3[理学—数学]