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RESEARCH ARTICLE

$\mathcal{H}$–,$\mathcal{R}$– and $\mathcal{L}$–cross-sections of the infinite symmetric inverse semigroup $IS_X$

Vasyl Pyekhtyeryev

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

Abstract: All $\mathcal{H}$–,$\mathcal{R}$– and $\mathcal{L}$–cross-sections of the infinite symmetric inverse semigroup $IS_X$ are described.

Keywords: Symmetric inverse semigroup, Green relations, cross-sections.

MSC: 20M20, 20M10

Received: 29.12.2004
Revised: 21.03.2005

Language: English

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