Abstract
The purpose of this note is to characterize the semigroups whose left congruences form a chain. Such semigroups are here called the left chain semigroups. It is clear that any semigroup with no more than two elements is a left chain one. Therefore we may consider only the semigroups which contain more than two elements. Our result is the following.
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Communicated by L. B. Kozhukhov
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Kozhukhov, I.B. Left chain semigroups. Semigroup Forum 22, 1–8 (1981). https://doi.org/10.1007/BF02572781
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DOI: https://doi.org/10.1007/BF02572781