Green′s Relation on a Kind of Variant Semigroup

Qin Mei-qing · Jiangnan daxue xuebao. Ziran kexue ban · 2012

On the basis of semigroups of partial transformationg preserving an equivalence relation,we introduce a new subsemigroup of partial transformation semigroup preserving an equivalence and call it partial transformation semigroup preserving order and an equivalence.Denote an operation and derive the variant semigroups of partial transformationg semigroup preserving order an equivalence through the nature of Green's relations we describe the Green's relations of this semigroup.

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