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Semirings which are unions of rings |
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| Authors: | F Pastijn and Yuqi Guo |
| Institution: | 1. Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee Wl,53201-1881, U.S.A. 2. Department of Mathematics, Yunnan University, Kunming,650091, China |
| Abstract: | 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.`` |
| Keywords: | 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 |
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