摘要
Abstract
For the rapid development of commutative, a commutative theorem of rings were given in this paper, Dai Yuejin' conclusion was expended and one commutative theorem on kothe e-semisimple rings is put forward and proved strictly:If R was a kothe -semisimple rings,and for arbitrary a,b,c ∈ R, there existed a positive integer k = k(a,b) ,a word fx(x,y) containing x and n =n(a,b,c) (≥k) y's, and a polynomial φx(x,y) with integer coefficients such that [∑ki=0αiβiabk-I-fx(a,b)φx(a,b) ,c] ∈Z(R) (1)|∑ki=0αi|=1 then R was commutative.关键词
质环/半单环/交换性/kothe半单环Key words
prime rings/ semisimple rings/ commutativity/ kothe-seinisimple rings分类
数理科学
