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.

引用

页码：339 / 348

页数：10

共 50 条

[31] ON THE NUMBER OF NON-ISOMORPHIC SUBGRAPHS
SHELAH, S
SOUKUP, L
ISRAEL JOURNAL OF MATHEMATICS, 1994, 86 (1-3) : 349 - 371
[32] Non-isomorphic semipartial geometries
S. De Winter
Designs, Codes and Cryptography, 2008, 47 : 3 - 9
[33] NON-ISOMORPHIC PROJECTIVE SETS
MAULDIN, D
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (01): : A31 - A31
[34] NON-ISOMORPHIC GROUPS WITH ISOMORPHIC SPECTRAL TABLES AND BURNSIDE MATRICES
KIMMERLE, W
ROGGENKAMP, KW
CHINESE ANNALS OF MATHEMATICS SERIES B, 1994, 15 (03) : 273 - 282
[35] Isomorphic rings of monomial representations
Mueller, Michael
JOURNAL OF ALGEBRA, 2012, 367 : 105 - 119
[36] NON-ISOMORPHIC PROJECTIVE SETS
MAULDIN, RD
MATHEMATIKA, 1976, 23 (46) : 151 - 155
[37] ALGEBRAS WITH NON-ISOMORPHIC CONSTRAINTS
MEYER, Y
ANNALES DE L INSTITUT FOURIER, 1969, 19 (01) : 117 - &
[38] Non-isomorphic semipartial geometries
De Winter, S.
DESIGNS CODES AND CRYPTOGRAPHY, 2008, 47 (1-3) : 3 - 9
[39] Groups with isomorphic Burnside rings
Raggi-Cárdenas, A
Valero-Elizondo, L
ARCHIV DER MATHEMATIK, 2005, 84 (03) : 193 - 197
[40] Groups with isomorphic Burnside rings
Alberto G. Raggi-Cárdenas
Luis Valero-Elizondo
Archiv der Mathematik, 2005, 84 : 193 - 197

← 1 2 3 4 5 →