This article is cited in 6 papers

RESEARCH ARTICLE

Isolated and nilpotent subsemigroups in the variants of $\mathcal{IS}_n$

Galyna Tsyaputa

Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska st., 01033, Kyiv, Ukraine

Abstract: All isolated, completely isolated, and nilpotent subsemigroups in the semigroup $\mathcal{IS}_n$ of all injective partial transformations of an $n$-element set, considered as a semigroup with a sandwich multiplication are described.

Keywords: Inverse symmetric semigroup, variants of a semigroup, sandwich semigroup, isolated subsemigroups, nilpotent subsemigroups.

Received: 07.06.2005

Language: English

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