应用数学2003，Vol.16Issue(4)：117-121,5.
循环矩阵环的局部化
The Localization of Block Circulant Matrix Rings
摘要
Abstract
The main results of the paper are that a ring R satisfies the left Ore conditions with respect to its multiplicatively closed subset S if and only if so doesR[σ1,σ2,…σt]with respect to its relevent multiplicatively closed subset S[σ1,σ2,…,σt]and that if R satisfies the left Ore conditions with respect to S and S-1R is a left ring of fractions of R with respect to S with the natural ring homonorphism φ-:R[σ1,σ2,…,σt]→S[σ1,σ2,…,σt]-1R[σ1,σ2,…,σt]such that (S-1R)[φ-(σ1),φ-(σ2),…,φ-(σt)]≌S[σ1,σ2,…,dt]-1R[σ1,σ2,…,σt].关键词
左Ore条件/左分式环/乘法封闭子集Key words
Left Ore conditions/Left ring of fractions/Multiplicatively closed subset分类
数理科学引用本文复制引用
张圣贵,邓方安,刘三阳..循环矩阵环的局部化[J].应用数学,2003,16(4):117-121,5.基金项目
This research is supported by National Science Foundation Grand No. 69972036. （）
