2010•Science Technology and EngineeringRequires access

The Structures of a Distributive Lattice of Bi-Semirings with Additional Zero Elements

Li Gang

Abstract

In order to study well the structure of semirings,the definition of a distributive lattice of bi-semirings with additional zero element is mainly given.The properties of a distributive lattice of semirings with additional zero element is promote and given a characterization of structures that the bi-semiring is strong distributive lattice in special condition.

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Key concepts: Distributive property, Distributive lattice, Congruence lattice problem, Lattice (music), Semiring, Mathematics, Map of lattices, Maximal element