Algebraic connections between Menger algebras and Menger hyperalgebras via regularity

• Date: 2023
• Main Authors: Nongmanee, A., Leeratanavalee, S.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2023
• Subjects: semihypergroups; regular semihypergroups; Menger algebras; Menger hyperalgebras; 20M17; 20M75
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2135
• Journal Title: Algebra and Discrete Mathematics

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 \(v\)...