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arXiv · 2303.13149

The cardinality of Kiselman's semigroups grows double-exponentially

Alessandro D'Andrea·Salvatore Stella
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Abstract

Let $K_n$ denote Ganyushkin-Kudryavtseva-Mazorchuk's generalization of Kiselman's semigroups. We show that the sequence $2^{-n/2}\cdot \log|K_n|$ admits finite limits as $n$ grows to infinity both on odd and even values.

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Alessandro D'Andrea, Salvatore Stella. 2023-03-23. The cardinality of Kiselman's semigroups grows double-exponentially. https://arxiv.org/abs/2303.13149

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