Taras Banakh, Volodymyr Gavrylkiv, “Characterizing semigroups with commutative superextensions”, Algebra Discrete Math., 2014, Volume 17, Issue 2,Pages <nobr>161

This article is cited in 3 papers

RESEARCH ARTICLE

Characterizing semigroups with commutative superextensions

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 characterize semigroups $X$ whose semigroups of filters $\varphi(X)$, maximal linked systems $\lambda(X)$, linked upfamilies $N_2(X)$, and upfamilies $\upsilon(X)$ are commutative.

Keywords: Commutative semigroup, superextension, semigroup of filters, semigroup of linked upfamilies.

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

Received: 11.02.2014
Revised: 23.04.2014

Language: English