Semisimple classes of semirings

被引：0
|
作者：
Hebisch, U [1 ]
Weinert, HJ
机构：
[1] TU Bergakad Freiberg, Inst Theoret Math, D-09596 Freiberg, Germany
[2] Tech Univ Clausthal, Inst Math, D-38678 Clausthal Zellerfeld, Germany
来源：
ALGEBRA COLLOQUIUM | 2002年 / 9卷 / 02期
关键词：
semiring; radical theory; semisimple class;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A famous result of Sands states that a class 5 of associative rings is semisimple if and only if S is regular, coinductive, and extensionally closed. Here, we investigate semisimple classes in a Kurosh-Amitsur radical theory for semi-rings. We show that such a class S is regular, K-coinductive, and K-extensionally closed. But a characterization of semisimple classes of semirings needs a fourth condition, namely that S is inverse semi-isomorphically closed. We also obtain other characterizations and results for semisimple classes and for subdirect products of semirings.
引用
收藏
页码：177 / 196
页数：20
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