Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/75527
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dc.contributor.authorThodsaporn Kumduangen_US
dc.contributor.authorSorasak Leeratanavaleeen_US
dc.date.accessioned2022-10-16T07:00:30Z-
dc.date.available2022-10-16T07:00:30Z-
dc.date.issued2022-09-01en_US
dc.identifier.issn17937183en_US
dc.identifier.issn17935571en_US
dc.identifier.other2-s2.0-85121315734en_US
dc.identifier.other10.1142/S1793557122501625en_US
dc.identifier.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85121315734&origin=inwarden_US
dc.identifier.urihttp://cmuir.cmu.ac.th/jspui/handle/6653943832/75527-
dc.description.abstractMultiplace functions, which are also called functions of many variables, and their algebras called Menger algebras have been studied in various fields of mathematics. Based on the theory of many-sorted algebras, the primary aim of this paper is to present the ideas of Menger systems and Menger systems of full multiplace functions which are natural generalizations of Menger algebras and Menger algebras of n-Ary operations, respectively. Two specific types of n-Ary operations, which are called idempotent cyclic and weak near-unanimity generated by cyclic and weak near-unanimity terms, are provided. The Menger algebras under consideration have a two-element universe, the elements of which are two specific n-Ary operations. Additionally, we provide necessary and sufficient conditions in which the abstract Menger algebra and the Menger algebras of these two n-Ary operations are isomorphic. An abstract characterization of unitary Menger systems via systems of idempotent cyclic and weak near-unanimity multiplace functions is generally investigated. A strong connection between clone of terms and Menger systems of full multiplace functions is also investigated.en_US
dc.subjectMathematicsen_US
dc.titleMenger systems of idempotent cyclic and weak near-unanimity multiplace functionsen_US
dc.typeJournalen_US
article.title.sourcetitleAsian-European Journal of Mathematicsen_US
article.volume15en_US
article.stream.affiliationsChiang Mai Universityen_US
Appears in Collections:CMUL: Journal Articles

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