<i>v</i>-Regular Ternary Menger Algebras and Left Translations of Ternary Menger Algebras
Let <i>n</i> be a fixed natural number. Ternary Menger algebras of rank <i>n</i>, which was established by the authors, can be regarded as a suitable generalization of ternary semigroups. In this article, we introduce the notion of <i>v</i>-regular ternary Menger...
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| Autores principales: | , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
MDPI AG
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/30f78eaadc904f069b6c3423548e1e4e |
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| Sumario: | Let <i>n</i> be a fixed natural number. Ternary Menger algebras of rank <i>n</i>, which was established by the authors, can be regarded as a suitable generalization of ternary semigroups. In this article, we introduce the notion of <i>v</i>-regular ternary Menger algebras of rank <i>n</i>, which can be considered as a generalization of regular ternary semigroups. Moreover, we investigate some of its interesting properties. Based on the concept of <i>n</i>-place functions (<i>n</i>-ary operations), these lead us to construct ternary Menger algebras of rank <i>n</i> of all full <i>n</i>-place functions. Finally, we study a special class of full <i>n</i>-place functions, the so-called left translations. In particular, we investigate a relationship between the concept of full <i>n</i>-place functions and left translations. |
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