Finiteness conditions and infinite matrix rings

被引:0
|
作者
Del Río, A [1 ]
Simón, JJ [1 ]
机构
[1] Univ Murcia, Dept Matemat, Murcia 30100, Spain
关键词
D O I
10.1090/S0002-9939-05-08090-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a unital ring R, RCFM alpha(R) denotes the ring of row and column finite matrices over R indexed by alpha. We give necessary and sufficient structural conditions on RCFM alpha( R) which are equivalent to R being, respectively, Quasi-Frobenius, left artinian, and left noetherian.
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页码:1257 / 1263
页数:7
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