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$\mathcal{J}^{\ast}=\mathcal{D}^{\ast}$ need not hold in finite semigroups

Year: 2013
Type: preprint
Abstract: We provide an example of minimum size of a finite semigroup with $\mathcal{J}^{\ast}\neq\mathcal{D}^{\ast}$. We introduce the notion of starred stability and prove that every starred stable semigroup has $\mathcal{J}^{\ast}=\mathcal{D}^{\ast}$.
DOI: 10.48550/arxiv.1302.0985
Authors: Distler, Andreas, Maltcev, Victor, Umar, Abdullahi
Language: English
Open Access status: green
OpenAlex ID: W1903749116
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