The Number of Nilpotent Semigroups of Degree 3

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The Number of Nilpotent Semigroups of Degree 3

A semigroup is nilpotent of degree 3 if it has a zero, every product of 3 elements equals the zero, and some product of 2 elements is non-zero. It is part of the folklore of semigroup theory that almost all finite semigroups are nilpotent of degree 3. We give formulae for the number of nilpotent semigroups of degree 3 on a set with n ∈ N elements up to equality, isomorphism, and isomorphism or ...

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2012

ISSN: 1077-8926

DOI: 10.37236/2441