Yang Sui-yi
Abstract
In this paper,the lattice on semi—pseudoorder set SPO(R) of partially ordered semirings is given,it is proved that(SPO(R),∧,∨)is complete distributive lattice,and the relation on the lattice of pseudoordered set and the lattice of partially ordered set of partially ordered semirings is discussed.
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In this paper,the lattice on semi—pseudoorder set SPO(R) of partially ordered semirings is given,it is proved that(SPO(R),∧,∨)is complete distributive lattice,and the relation on the lattice of pseudoordered set and the lattice of partially ordered set of partially ordered semirings is discussed.
Key concepts: Lattice (music), Distributive lattice, Ordered set, Distributive property, Mathematics, Map of lattices, Congruence lattice problem, Complete lattice