Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)

Vasyl Pyekhtyeryev

Abstract


We prove that every finite poset can be embedded in some idempotent \(\mathcal{D}\)-cross-section of the finite inverse symmetric semigroup \(\mathcal{IS}_n\).


Keywords


Inverse symmetric semigroup, Green’s relations, cross-sections, posets

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