Semirings which are unions of rings

被引:0
作者
郭聿琦
F.Pastijn
机构
基金
中国国家自然科学基金;
关键词
semiring; ring; completely regular semigroup; lattice of varieties; band; idem-potent semiring; semilattice; orthodox completely regular semigroup; bisemilattice; ortho-dox semiring; completely simple semigroup; Mal’cev product;
D O I
暂无
中图分类号
O153.3 [环论];
学科分类号
070104 ;
摘要
Semirings which are a disjoint union of rings form a variety S which contains the variety of all rings and the variety of all idempotent semirings, and in particular, the variety of distributive lattices. Various structure theorems are established which bring insight into the structure of the lattice of subvarieties of S.
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页码:172 / 195
页数:24
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