Results 1 to 10 of about 72 (51)
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.
Dudek, Wieslaw A. +1 more
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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.
Dudek, Wieslaw A. +1 more
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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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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.
Dudek, Wieslaw A. +1 more
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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. Based on this knowledge, an interesting question arises: what a generalization of ternary semigroups is. In this article, we first introduce the notion of ternary Menger algebras of rank
Anak Nongmanee, Sorasak Leeratanavalee
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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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Semigroups of Terms, Tree Languages, Menger Algebra of n-Ary Functions and Their Embedding Theorems [PDF]
Symmetry, 2021 The concepts of terms and tree languages are significant tools for the development of research works in both universal algebra and theoretical computer science. In this paper, we establish a strong connection between semigroups of terms and tree languages, which provides the tools for studying monomorphisms between terms and generalized ...
Thodsaporn Kumduang +1 more
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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. Menger algebras are defined as models of this superassociative law. Cayley’s theorem for semigroups says that any model of the associative law is isomorphic to
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Faster algorithms for circuits in the Cayley-Menger algebraic matroid
, 2021 22 pages, 7 figures.
Malić, Goran, Streinu, Ileana
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REGULAR ELEMENTS AND GREEN'S RELATIONS IN POWER MENGER ALGEBRAS OF TERMS
Demonstratio Mathematica, 2008 AbstractSets of terms of ...
K. Denecke, P. Glubudom
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