NON-ISOMORPHIC RINGS WITH ISOMORPHIC MATRIX-RINGS

被引：8
|
作者：
CHATTERS, AW [1 ]
机构：
[1] UNIV BRISTOL,SCH MATH,BRISTOL BS8 1TW,ENGLAND
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1993年 / 36卷
关键词：
16P40; 16S50; 16W20; 1991 Mathematics subject classification;
D O I：
10.1017/S0013091500018435
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct an uncountable family of pairwise non-isomorphic rings S(i) such that the corresponding full 2 by 2 matrix rings M2(S(i)) are all isomorphic to each other. The rings S(i) are Noetherian integral domains which are finitely-generated as modules over their centres.
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页码：339 / 348
页数：10
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