Affiliation:
1. Northwest University, School of Mathematics, Xian, P.R. China
2. Department of Mathematics and Informatics, Novi Sad
3. Faculty of Mechanical Engineering, Niš
Abstract
In this paper we study the semiring variety V generated by any finite number
of finite fields F1,..., Fk and two-element distributive lattice B2, i.e., V
= HSP{B2, F1,..., Fk}. It is proved that V is hereditarily finitely based,
and that, up to isomorphism, the two-element distributive lattice B2 and all
subfields of F1,..., Fk are the only subdirectly irreducible semirings in V.
Publisher
National Library of Serbia