Generating sets and Green's relations for semigroup P_θ ( I×Λ) of all binary relations from a set I to a set Λ

Lin Ping-feng · jOURNAL OF southwest University for Nationalities · 2010

Let I,Λ be two arbitrary nonempty sets.Where θ = Λ'×I,the non-solvable elements and the irreducible generating sets of the semigroup Pθ(I×Λ) are established;the Green's relations of the semigroup Pθ(I×Λ)are obtained;some specific counts of the semigroup P θ(I×Λ) are discussed.

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