THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP

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Abstract:

In this paper we investigate some properties of congruences on ternary semigroups. We also define the notion of congruence on a ternary semigroup generated by a relation and we determine the method of obtaining a congruence on a ternary semigroup T from a relation R on T. Furthermore we study the lattice of congruences on a ternary semigroup and we show that this lattice is not generally modular, it is not even semimodular. Then we indicate some conditions under which this lattice is modular.

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Journal title

volume 6  issue 1

pages  59- 70

publication date 2018-09-01

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