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An abstract characterization of menger algebras of strongly quasi-open multiplace maps

, 2019
Let X and Y be topological spaces. A map f : X ? Y is quasi-open if Int(f (U)) ?= ? for every non-empty open set U ? X. We say that a map f : Xn ? X is a strongly quasi-open map if for any non-empty set V ? Xn for which all projections have non-empty interiors, the interior of f(V ) is non-empty.
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An abstract characterization of the Menger algebra of strongly quasi-open maps [PDF]

AIP Conference Proceedings, 2019
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On the Cartesian product of the Menger algebras of terms and relational formulas

Algebra and Discrete Mathematics
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Partial Menger algebras of terms

Asian-European Journal of Mathematics, 2020
The superposition operation [Formula: see text] [Formula: see text] [Formula: see text], maps to each [Formula: see text]-tuple of [Formula: see text]-ary operations on a set [Formula: see text] an [Formula: see text]-ary operation on [Formula: see text] and satisfies the so-called superassociative law, a generalization of the associative law.
Denecke, Klaus-Dieter (Prof. Dr. rer. nat habils Dr. h.c.), Hounnon, Hippolyte   +1 more
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Identities for primal Menger algebras

Algebra Universalis, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arthur Knoebel
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Perturbation of generalized derivations in fuzzy Menger normed algebras

Fuzzy Sets and Systems, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza Kamel Mirmostafaee
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On some subtraction Menger algebras of multiplace functions

Semigroup Forum, 2016
An \((n+1)\)-ary groupoid \((G, o)\), i.e., a nonempty set \(G\) with one \((n+1)\)-ary operation \(o:G^{n+1}\to G\) is called a Menger function of rank \(n\) if it satisfies the superassociativity law: \[ o(o(x,y_1,\dots, y_n),z_1,\dots, z_n)=o(x,o(y_1,z_1,\dots, z_n),\dots,o(y_n,z_1,\dots, z_n)).
Wieslaw A Dudek, Valentin S Trokhimenko
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The Menger algebra of terms induced by order-decreasing transformations

Communications in Algebra, 2021
Let τn be a type of algebras with the n-ary operation symbols, for a fixed integer n≥1. In this article, we introduce terms of type τn called order-decreasing full terms.
Khwancheewa Wattanatripop, Thawhat Changphas   +1 more
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Menger algebras of idempotent n-ary operations

Studia Scientiarum Mathematicarum Hungarica, 2018
It is proved that the set of all idempotent operations defined on a given set forms a Menger algebra which can be characterized by its densely embedded v-ideal. We also describe automorphisms of this algebra.
Wieslaw A. Dudek, Valentin S. Trokhimenko   +1 more
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