Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\)

• Date: 2018
• Main Author: Pyekhtyeryev, Vasyl
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Inverse symmetric semigroup; Green’s relations; cross-sections; posets; 20M20; 20M10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/820
• Journal Title: Algebra and Discrete Mathematics

We prove that every finite poset can be embedded in some idempotent \(\mathcal{D}\)-cross-section of the finite inverse symmetric semigroup \(\mathcal{IS}_n\).