Congruence and Green’s equivalence relation on ternary semigroup

A characterization of triple semigroup of ternary functions and Demorgan triple semigroup of ternary functions

THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP

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...

A Characterization of Triple Semigroup of Ternary Functions and Demorgan Triple Semigroup of Ternary Functions

We define algebras of triple semigroup and DeMorgan triple semigroup and by defining three Mann’s compositions and one unary operation on the set of 3-place(ternary) functions over some set, we construct a DeMorgan triple semigroup of 3-place (ternary) functions and so find an abstract characterization of this algebras.

Special Congruence Triples for a Regular Semigroup

With the usual notation for congruences on a regular semigroup S, in a previous communication we studied the lattice Λ generated by Γ = {σ, τ, μ, β} relative to properties such as distributivity and similar conditions. For K and T the kernel and trace relations on the congruence lattice of S, we form an abstraction of the triple (Λ;K|Λ, TΛ) called a c-triple. In this study a number of relations...

a characterization of triple semigroup of ternary functions and demorgan triple semigroup of ternary functions