This article is cited in 1 paper

RESEARCH ARTICLE

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

Vasyl Pyekhtyeryev

Department of Mechanics and Mathematics, Kiyv Taras Shevchenko University, 64, Volodymyrska st., 01033, Kiyv, UKRAINE

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.

MSC: 20M20, 20M10

Received: 05.02.2008
Revised: 14.10.2008

Language: English

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