Title of article :
SEMIGROUPS GENERATED BY PARTITIONS
Author/Authors :
Dovgoshey, O. Function Theory Department - Institute of Applied Mathematics and Mechanics of NASU Dobrovolskogo, Ukraine
Abstract :
Let X be a nonempty set and X2 be the Cartesian square of X.
Some semigroups of binary relations generated by partitions of X2 are studied. In particular, the algebraic structure of semigroups generated by the finest
partition of X2 and, respectively, by the finest symmetric partition of X2 are
described.
Keywords :
Partition of a set , semigroup of binary relations , band of semigroups
Journal title :
International Electronic Journal of Algebra
