@article { author = {Ashrafi, N. and Yazdanmehr, Z.}, title = {THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP}, journal = {Journal of Algebraic Systems}, volume = {6}, number = {1}, pages = {59-70}, year = {2018}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2018.5360.1273}, 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.}, keywords = {Ternary semigroup,congruence,Lattice}, url = {https://jas.shahroodut.ac.ir/article_1255.html}, eprint = {https://jas.shahroodut.ac.ir/article_1255_585b8d0ca4e05982b434b1a9d2ab912e.pdf} }