A semigroup whose congruences form a chain with respect to inclusion is called a Δ-semigroup. Schein  and Tamura  described the commutative Δ-semigroups, Etterbeek  characterized the medial Δ-semigroups and Trotter  generalized their results for exponential Δ-semigroups.
The purpose of this paper is to extend the examination to obtain a description of weakly exponential Δ-semigroups.
KeywordsArbitrary Element Proper Ideal Rectangular Band Normal Complex Idempotent Element
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