Results 121 to 130 of about 241,064 (135)

Commentary on Menger’s Work on Algebra

2003
When Menger’s book on curve theory [23], written in co-operation with Georg Nobeling, appeared in 1932 he already had over 60 publications to his credit. Among them were his group theoretical investigations, an offshoot of his seminal paper “Untersuchungen uber allgemeine Metrik” [18]. The Mathematisches Kolloquium at the University of Vienna discussed
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Menger algebras of k -commutative n -place functions

Georgian Mathematical Journal, 2019
Abstract We prove that the set of all k -commutative n -place functions defined on a fixed set forms a Menger algebra, and characterize such algebras by their densely embedded ideals. We also describe all automorphisms of such algebras.
Dudek, Wieslaw A., Trokhimenko, Valentin S.   +1 more
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Commentary on Menger’s Work on the Algebra of Geometry

2002
Karl Menger was one of the leading and great geometers of our Century. No doubt, much of his work in geometry must be considered as spectacular. Moreover, it initiated and substantially influenced further research in different branches of geometry. The aim of this commentary is to follow the development of his theory Algebra of Geometry, a theory which,
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On some Menger algebras of multiplace transformations of ordered sets

Algebra Universalis, 1995
Let \(f[f_1 \dots f_n]\) denote the \((n+1)\)-ary Menger composition of mappings \(f,f_1 ,\dots, f_n : A^n \to A\), defined by \(f[f_1 \dots f_n] (a_1, \dots, a_n) = f(f_1(a_1, \dots, a_n), \dots, f_n(a_1, \dots, a_n))\). A mapping \(f : A^n \to A\) on an ordered set \((A; \leq)\) is called: extensive if \(a_i \leq f(a_1, \dots, a_n)\) for all \(a_1 ...
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Unitary Menger algebra of C-quantifier free formulas of type (τn,(2))

Asian-European Journal of Mathematics, 2020
Using an [Formula: see text]-ary superposition operation [Formula: see text] on the set [Formula: see text] of all [Formula: see text]-ary term of [Formula: see text], one obtains a unitary Menger algebra [Formula: see text] of rank [Formula: see text].
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Menger algebras of k-commutative n-place functions

Georgian Mathematical Journal, 2021
Wieslaw A Dudek
exaly  

\(n\)-solid varieties and free Menger algebras of rank \(n\)

2003
An identity of a variety \(V\) of algebras is said to be a hyperindentity of \(V\) if, after any replacement of the operation symbol occurring in the identity of the operation symbols occurring in the identity by terms of the same arity, the new equation is also satisfied as an identity in \(V\). Let \(\text{Id}_nV\) be the set of all identities of \(V\
Denecke, Klaus-Dieter, Jampachon, Prakit
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v-Regular Ternary Menger Algebras and Left Translations of Ternary Menger Algebras

Mathematics, 2021
Sorasak Leeratanavalee, Anak Nongmanee
exaly  

Menger algebras of associative and self-distributive \(n\)-ary operations

2018
In this paper, the authors present necessary and sufficient conditions under which multiple functions algebras (called Menger algebras) of rank \(n\) can be isomorphically represented by associative or \((I, j)\)-associative \(n\)-ary operations defined on some nonempty set.
Dudek, Wieslaw A., Trokhimenko, Valentin S.   +1 more
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Stabilizers of ordered Menger algebras

Translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No.6(289), 74-76 (Russian) (1986; Zbl 0605.20066).
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