SEMIGROUPS GENERATED BY PARTITIONS

Year 2019, Volume: 26 Issue: 26, 145 - 190, 11.07.2019

O. Dovgoshey

https://doi.org/10.24330/ieja.587041

Cited By: 4

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

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