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

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

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

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Bibliographic Details
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
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Journal Title:Algebra and Discrete Mathematics

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

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