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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/820 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543041682145280 |
|---|---|
| author | Pyekhtyeryev, Vasyl |
| author_facet | Pyekhtyeryev, Vasyl |
| author_sort | Pyekhtyeryev, Vasyl |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-22T09:42:02Z |
| description | We prove that every finite poset can be embedded in some idempotent \(\mathcal{D}\)-cross-section of the finite inverse symmetric semigroup \(\mathcal{IS}_n\). |
| first_indexed | 2025-12-02T15:41:04Z |
| format | Article |
| id | admjournalluguniveduua-article-820 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:41:04Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-8202018-03-22T09:42:02Z Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\) Pyekhtyeryev, Vasyl Inverse symmetric semigroup, Green’s relations, cross-sections, posets 20M20, 20M10 We prove that every finite poset can be embedded in some idempotent \(\mathcal{D}\)-cross-section of the finite inverse symmetric semigroup \(\mathcal{IS}_n\). Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/820 Algebra and Discrete Mathematics; Vol 7, No 3 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/820/350 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Inverse symmetric semigroup Green’s relations cross-sections posets 20M20 20M10 Pyekhtyeryev, Vasyl Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\) |
| title | Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\) |
| title_full | Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\) |
| title_fullStr | Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\) |
| title_full_unstemmed | Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\) |
| title_short | Idempotent \(\mathcal{D}\)-cross-sections of the finite inverse symmetric semigroup \(IS_n\) |
| title_sort | idempotent \(\mathcal{d}\)-cross-sections of the finite inverse symmetric semigroup \(is_n\) |
| topic | Inverse symmetric semigroup Green’s relations cross-sections posets 20M20 20M10 |
| topic_facet | Inverse symmetric semigroup Green’s relations cross-sections posets 20M20 20M10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/820 |
| work_keys_str_mv | AT pyekhtyeryevvasyl idempotentmathcaldcrosssectionsofthefiniteinversesymmetricsemigroupisn |