The variety of semirings generated by distributive lattices and finite fields
Keyword(s):
A semiring variety is d-semisimple if it is generated by the distributive lattice of order two and a finite number of finite fields. A d-semisimple variety V = HSP{B2, F1,..., Fk} plays the main role in this paper. It will be proved that it is finitely based, and that, up to isomorphism, the two-element distributive lattice B2 and all subfields of F1,..., Fk are the only subdirectly irreducible members in it.
2021 ◽
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pp. 207-217
1971 ◽
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pp. 866-874
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1975 ◽
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1970 ◽
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1973 ◽
Vol 16
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