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Semirings which are unions of rings 被引量:3

Semirings which are unions of rings
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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. Sernirings which are a disjoint union of rings form a variety S which contains the variety of all rings and the variety of all idempotent sernirings, 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.
出处 《Science China Mathematics》 SCIE 2002年第2期172-195,共24页 中国科学:数学(英文版)
基金 Guo Yuqi was supported by the National Natural Science Foundation of China (Grant No. 10071068) the Provincial Applied Fundamental Research Foundation of Yunnan Province of China.
关键词 semiring ring COMPLETELY REGULAR semigroup lattice of varieties band idempotent semiring semilattice ORTHODOX COMPLETELY REGULAR semigroup bisemilattice ORTHODOX semiring COMPLETELY simple semigroup Mal'cev product. semiring ring completely regular semigroup lattice of varieties band idem-potent semiring semilattice orthodox completely regular semigroup bisemilattice orthodox semiring completely simple semigroup Mal’cev product
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