Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\)
Hypersubstitutions are mappings which are used to define hyperidentities and solid varieties. In this paper we will show that the set of all hypersubstitutions of a given type forms a seminearring. We will give a full characterization of Green’s relation \(\mathcal{R}\) on a sub-seminearring of the...
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/949 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543369436594176 |
|---|---|
| author | Changphas, Th. Denecke, K. |
| author_facet | Changphas, Th. Denecke, K. |
| author_sort | Changphas, Th. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-13T06:43:21Z |
| description | Hypersubstitutions are mappings which are used to define hyperidentities and solid varieties. In this paper we will show that the set of all hypersubstitutions of a given type forms a seminearring. We will give a full characterization of Green’s relation \(\mathcal{R}\) on a sub-seminearring of the seminearring \(Hyp(n)\) of all hypersubstitutions of type \((n)\). |
| first_indexed | 2026-02-08T08:02:08Z |
| format | Article |
| id | admjournalluguniveduua-article-949 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:02:08Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-9492018-05-13T06:43:21Z Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\) Changphas, Th. Denecke, K. full hypersubstitutions, seminearring, Green’s relations 08B15 Hypersubstitutions are mappings which are used to define hyperidentities and solid varieties. In this paper we will show that the set of all hypersubstitutions of a given type forms a seminearring. We will give a full characterization of Green’s relation \(\mathcal{R}\) on a sub-seminearring of the seminearring \(Hyp(n)\) of all hypersubstitutions of type \((n)\). Lugansk National Taras Shevchenko University 2018-05-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/949 Algebra and Discrete Mathematics; Vol 2, No 1 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/949/478 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | full hypersubstitutions seminearring Green’s relations 08B15 Changphas, Th. Denecke, K. Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\) |
| title | Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\) |
| title_full | Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\) |
| title_fullStr | Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\) |
| title_full_unstemmed | Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\) |
| title_short | Green’s relations on the seminearring of full hypersubstitutions of type (\(n)\) |
| title_sort | green’s relations on the seminearring of full hypersubstitutions of type (\(n)\) |
| topic | full hypersubstitutions seminearring Green’s relations 08B15 |
| topic_facet | full hypersubstitutions seminearring Green’s relations 08B15 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/949 |
| work_keys_str_mv | AT changphasth greensrelationsontheseminearringoffullhypersubstitutionsoftypen AT deneckek greensrelationsontheseminearringoffullhypersubstitutionsoftypen |