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多项式环的分次Jacobson根
引用本文:肖蓬.多项式环的分次Jacobson根[J].福建师范大学学报(自然科学版),1996,12(4):35-37.
作者姓名:肖蓬
摘    要:刻划了我项式环R「x」和R「x,x^-1」的分次Jacobson根,并引进分次局部环概念,证明了R是局部环肖且公R「x」是次局部环,当且仅当R「x,x^-1」是分次局部环。

关 键 词:多项式环  Jacobson根  分次Jacobson根  结合环

The Graded Jacobson Radical of Polynomial Rings
Xiao Peng.The Graded Jacobson Radical of Polynomial Rings[J].Journal of Fujian Teachers University(Natural Science),1996,12(4):35-37.
Authors:Xiao Peng
Institution:Department of Mathematics
Abstract:in this paper, characterizes the graded Jacobson radical of polynomial rings Rx] and Rx, x-1]and introduces concepts of graded local rings and proves that R is a local ring if and only if Rx] is a graded local ring, if and only if Rx, x-1]is a graded local ring.
Keywords:polynomial ring  Jacobson radical  graded Jacobson radical
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