Study on Quotient Ordered Homomorphisms of Partially Ordered Semigroups
By quotient semi-pseudo order,quotient semi-pseudo chain and regular congruence of partially ordered semigroups,the quotient ordered homomorphisms of partially ordered semigroups are studied,and the fundamental theorems on quotient ordered homomorphisms are given.At the same time,relationships between quotient semi-pseudoorder and quotient ordered homomorphisms of par-tially ordered semigroups are discussed,the construction method on quotient semi-pseudo order of S by quotient ordered homomorphisms from partially ordered semigroups S to T and the sufficient and the necessary conditions on a quotient semi-pseudo order ρ⊆ρφ of S are given,and some important conclu-sions are obtained.
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