Green's Relation on Variant Semigroup of Transformation Semigroup Preserving Order and an Equivalence Relation

Qin Mei-qing · Hainan Daxue xuebao. Ziran kexue ban · 2012

Based on semigroups of transformation preserving an equivalence relation,a new subsemigroup of transformation semigroup preserving an equivalence was introduced,in which a new operation was defined,and a new semigroup called transformation semigroup preserving order and an equivalence relation was obtained.Based on the nature of Green's relation,the Green's relations of this semigroup were described.

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