%0 Journal Article
%T THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Ashrafi, N.
%A Yazdanmehr, Z.
%D 2018
%\ 09/01/2018
%V 6
%N 1
%P 59-70
%! THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP
%K Ternary semigroup
%K congruence
%K Lattice
%R 10.22044/jas.2018.5360.1273
%X 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.
%U https://jas.shahroodut.ac.ir/article_1255_585b8d0ca4e05982b434b1a9d2ab912e.pdf