SEMIGROUPS GENERATED BY PARTITIONS

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International Electronic Journal of Algebra
Volume:26 Issue:26
SEMIGROUPS GENERATED BY PARTITIONS

SEMIGROUPS GENERATED BY PARTITIONS

Pages : 145-190

View : 29 | Download : 12

Publication Date : 2019-07-11

Article Type : Research Paper

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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