Abstract
In this paper, we establish several properties of the lattice of ideals of a nilpotent semigroup. In particular, we characterize the finite nilpotent semigroups by the length of this lattice, and we generalize a theorem of T. Tamura and M. Yamada [5], concerning the ideal extension of a nilpotent semigroup by a null semigroup.
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Communicated by M.-L. Dubreil-Jacotin
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Merlier, T. Sur les ideaux des demi-groupes nilpotents. Semigroup Forum 5, 236–242 (1972). https://doi.org/10.1007/BF02572895
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DOI: https://doi.org/10.1007/BF02572895