STABLY FREE MODULES OVER RINGS OF GENERALIZED INTEGER QUATERNIONS

被引：5
作者：
CHATTERS, AW
PARMENTER, MM
机构：
[1] UNIV BRISTOL,SCH MATH,BRISTOL BS8 1TW,AVON,ENGLAND
[2] MEM UNIV NEWFOUNDLAND,DEPT MATH & STAT,ST JOHNS,NF A1C 5S7,CANADA
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1995年 / 38卷 / 04期
关键词：
D O I：
10.4153/CMB-1995-059-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we obtain, in a rather easy way, examples of stably free non-free right ideals. We also give an example of a stably free non-free two-sided ideal in a maximal Z-order. These are obtained as applications of a theorem giving necessary and sufficient conditions for H/nH to be a complete 2 x 2 matrix ring, when H is a generalised quaternion ring.
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页码：408 / 411
页数：4
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