CONGRUENCES AND QUOTIENTS OF TERNARY ALGEBRAS
In this paper, we introduce the notion of congruences on the ternary algebras and investigate some interesting properties. We give constructions of quotient ternary algebras induced by congruence relations. Finally, by the congruence relation induced by homomorphisms, we are able to establish some isomorphism theorems.
congruence relation, ternary algebra, quotient ternary.