Balanced subsets of the semigroup of partial transformations

V. A. Kolmykov

Research Institute for Mathematics State University of Voronezh, Voronezh

Abstract: For the elements of subsets of the semigroup of partial transformations we study when the sets of commuting and noncommuting elements are of the same cardinality.

Keywords: semigroup, partial transformation, cardinal number.

UDC: 512.534.2+510.227+519.175

Received: 09.09.2008

 English version: Siberian Mathematical Journal, 2011, 52:3, 451–455

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