SEMIGROUPS GENERATED BY PARTITIONS
Authors : O. Dovgoshey
Pages : 145-190
Doi:10.24330/ieja.587041
View : 9 | Download : 6
Publication Date : 2019-07-11
Article Type : Research
Abstract :Let X be a nonempty set and X^2 be the Cartesian square of X. Some semigroups of binary relations generated by partitions of X^2 are studied. In particular, the algebraic structure of semigroups generated by the finest partition of X^2 and, respectively, by the finest symmetric partition of X^2 are described.Keywords : Partition of a set, semigroup of binary relations, band of semigroups