Results 1 to 10 of about 109 (82)
Ternary Menger Algebras: A Generalization of Ternary Semigroups [PDF]
Mathematics, 2021 Let n be a fixed natural number. Menger algebras of rank n, which was introduced by Menger, K., can be regarded as the suitable generalization of arbitrary semigroups.
Anak Nongmanee, Sorasak Leeratanavalee
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Subtraction Menger algebras [PDF]
Semigroup Forum, 2012 Abstract characterizations of Menger algebras of partial $n$-place functions defined on a set $A$ and closed under the set-theoretic difference functions treatment as subsets of the Cartesian product $A^{n+1}$ are given.
Wieslaw A Dudek, Valentin S Trokhimenko
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Menger Algebras of n-Place Functions [PDF]
Proceedings of the International Conference on Algebra 2010, 2011 It is a survey of the main results on abstract characterizations of algebras of $n$-place functions obtained in the last 40 years. A special attention is paid to those algebras of $n$-place functions which are strongly connected with groups and semigroups, and to algebras of functions closed with respect natural relations defined on their domains.
Wieslaw A Dudek
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Partial Menger algebras and their weakly isomorphic representation
Mathematics Open, 2022 As generalization of semigroups, Karl Menger introduced in the 1940th algebras of multiplace operations. Such algebras satisfy the superassociative law, a generalization of the associative law.
K. Denecke
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Congruences on Menger algebras [PDF]
Communications in Algebra, 2014 We discuss some types of congruences on Menger algebras of rank $n$, which are generalizations of the principal left and right congruences on semigroups. We also study congruences admitting various types of cancellations and describe their relationship with strong subsets.
Wieslaw A Dudek, Valentin S Trokhimenko
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Discussiones Mathematicae - General Algebra and Applications, 2021 The main purpose of this paper is to generalize the concept of linear terms. A linear term is a term in which every variable occurs at most once. K. Denecke defined partial operations on linear terms and partial clones.
Lekkoksung Nareupanat, Lekkoksung Somsak
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Algebraic connections between Menger algebras and Menger hyperalgebras via regularity
Algebra and Discrete Mathematics, 2023 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 ...
Nongmanee, A., Leeratanavalee, S.
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Journal of Inequalities and Applications, 2022 We stabilize pseudostochastic ( G 1 , G 2 ) $(\mathcal{G}_{1},\mathcal{G}_{2})$ -random operator inequality using a class of stochastic matrix control functions in matrix Menger Banach algebras.
Safoura Rezaei Aderyani +3 more
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The Clone of K*(n, r)-Full Terms
Discussiones Mathematicae - General Algebra and Applications, 2019 Let τn be a type of algebras in which all operation symbols have arity n, for a fixed n ≥ 1. For 0 < r ≤ n, this paper introduces a special kind of n-ary terms of type τn called K*(n, r)-full terms. The set of all K*(n, r)-full terms of type τn is closed
Wattanatripop Khwancheewa +1 more
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Constructing Menger Manifold C*-Diagonals in Classifiable C*-Algebras [PDF]
International Mathematics Research Notices, 2021 AbstractWe initiate a detailed analysis of $C^{\ast }$-diagonals in classifiable $C^{\ast }$-algebras, answering natural questions concerning topological properties of their spectra and uniqueness questions. Firstly, we construct $C^{\ast }$-diagonals with connected spectra in all classifiable stably finite $C^{\ast }$-algebras, which are unital or ...
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