Taras Banakh, Volodymyr Gavrylkiv, “Algebra in superextensions of inverse semigroups”, Algebra Discrete Math., 2012, Volume 13, Issue 2,Pages <nobr>147

This article is cited in 6 papers

RESEARCH ARTICLE

Algebra in superextensions of inverse semigroups

Taras Banakh^ab, Volodymyr Gavrylkiv^c

^a Ivan Franko University of Lviv, Ukraine
^b Jan Kochanowski University, Kielce, Poland
^c Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk, Ukraine

Abstract: We find necessary and sufficient conditions on an (inverse) semigroup $X$ under which its semigroups of maximal linked systems $\lambda(X)$, filters $\varphi(X)$, linked upfamilies $N_2(X)$, and upfamilies $\upsilon(X)$ are inverse.

Keywords: inverse semigroup, regular semigroup, Clifford semigroup, superextension, semigroup of filters.

MSC: 20M10, 20M14, 20M17, 20M18, 54B20

Received: 05.10.2011
Revised: 22.12.2011

Language: English