Algebraic connections between Menger algebras and Menger hyperalgebras via regularity
Menger hyperalgebras of rank \(n\), where \(n\) is a fixed integer, can be regarded as a natural generalization of arbitrary semihypergroups. Based on this knowledge, an interesting question arises: what a generalization of regular semihypergroups is. In the article, we establish the notion of \(v\)...
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| Видавець: | Lugansk National Taras Shevchenko University |
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| Дата: | 2023 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2023
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2135 |
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Algebra and Discrete Mathematics| id |
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oai:ojs.admjournal.luguniv.edu.ua:article-21352023-12-11T16:21:07Z Algebraic connections between Menger algebras and Menger hyperalgebras via regularity Nongmanee, A. Leeratanavalee, S. semihypergroups, regular semihypergroups, Menger algebras, Menger hyperalgebras 20M17; 20M75 Menger hyperalgebras of rank \(n\), where \(n\) is a fixed integer, can be regarded as a natural generalization of arbitrary semihypergroups. Based on this knowledge, an interesting question arises: what a generalization of regular semihypergroups is. In the article, we establish the notion of \(v\)-regular Menger hyperalgebras of rank \(n\), which can be considered as an extension of regular semihypergroups. Furthermore, we study regularity of Menger hyperalgebras of rank \(n\) which are induced by some subsets of Menger algebras of rank \(n\). In particular, we obtain sufficient conditions so that the Menger hyperalgebras of rank \(n\) are \(v\)-regular. Lugansk National Taras Shevchenko University Chiang Mai University 2023-12-11 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2135 10.12958/adm2135 Algebra and Discrete Mathematics; Vol 36, No 1 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2135/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2135/1096 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2135/1134 Copyright (c) 2023 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
semihypergroups regular semihypergroups Menger algebras Menger hyperalgebras 20M17 20M75 |
| spellingShingle |
semihypergroups regular semihypergroups Menger algebras Menger hyperalgebras 20M17 20M75 Nongmanee, A. Leeratanavalee, S. Algebraic connections between Menger algebras and Menger hyperalgebras via regularity |
| topic_facet |
semihypergroups regular semihypergroups Menger algebras Menger hyperalgebras 20M17 20M75 |
| format |
Article |
| author |
Nongmanee, A. Leeratanavalee, S. |
| author_facet |
Nongmanee, A. Leeratanavalee, S. |
| author_sort |
Nongmanee, A. |
| title |
Algebraic connections between Menger algebras and Menger hyperalgebras via regularity |
| title_short |
Algebraic connections between Menger algebras and Menger hyperalgebras via regularity |
| title_full |
Algebraic connections between Menger algebras and Menger hyperalgebras via regularity |
| title_fullStr |
Algebraic connections between Menger algebras and Menger hyperalgebras via regularity |
| title_full_unstemmed |
Algebraic connections between Menger algebras and Menger hyperalgebras via regularity |
| title_sort |
algebraic connections between menger algebras and menger hyperalgebras via regularity |
| description |
Menger hyperalgebras of rank \(n\), where \(n\) is a fixed integer, can be regarded as a natural generalization of arbitrary semihypergroups. Based on this knowledge, an interesting question arises: what a generalization of regular semihypergroups is. In the article, we establish the notion of \(v\)-regular Menger hyperalgebras of rank \(n\), which can be considered as an extension of regular semihypergroups. Furthermore, we study regularity of Menger hyperalgebras of rank \(n\) which are induced by some subsets of Menger algebras of rank \(n\). In particular, we obtain sufficient conditions so that the Menger hyperalgebras of rank \(n\) are \(v\)-regular. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2023 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2135 |
| work_keys_str_mv |
AT nongmaneea algebraicconnectionsbetweenmengeralgebrasandmengerhyperalgebrasviaregularity AT leeratanavalees algebraicconnectionsbetweenmengeralgebrasandmengerhyperalgebrasviaregularity |
| first_indexed |
2024-04-12T06:13:56Z |
| last_indexed |
2024-04-12T06:13:56Z |
| _version_ |
1804810508018122752 |