RANK-FUNCTIONS ON RINGS DERIVED FROM GROUP-RINGS

被引：2
|
作者：
TRLIFAJ, J
机构：
[1] Department of Algebra, Fac.Math.Phys., Charles University, Prague
来源：
COMMUNICATIONS IN ALGEBRA | 1993年 / 21卷 / 06期
关键词：
RANK FUNCTION; DIRECT FINITENESS; GROUP RING; VONNEUMANN REGULAR RING;
D O I：
10.1080/00927879308824663
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The ring D(G) derived from the group ring KG is shown to possess exactly one pseudo-rank function in case G is an infinite, but locally and residually finite. group and K is a field. The function is described naturally as the limit of the sequence of normalized ranks of all approximation matrices. This fact is applied to an investigation of the direct finiteness of the maximal quotient ring of D(G).
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页码：2049 / 2057
页数：9
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