Results 41 to 50 of about 119,383 (69)
Regular elements and Green's relations in Menger algebras of terms
Discussiones Mathematicae - General Algebra and Applications, 2006 Klaus Denecke, Prakit Jampachon
openaire +1 more source
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.
openaire +1 more source
An abstract characterization of the Menger algebra of strongly quasi-open maps [PDF]
AIP Conference Proceedings, 2019 openaire +1 more source
On the Cartesian product of the Menger algebras of terms and relational formulas
Algebra and Discrete Mathematicsopenaire +1 more source
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.) +1 more
openaire +2 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Communications in Algebra, 2002
ABSTRACT Investigation of multiplace functions by algebraic methods plays an important role in modern mathematics were we consider various operations on sets of functions, which are naturally defin...
Wiesław A. Dudek +1 more
openaire +1 more source
ABSTRACT Investigation of multiplace functions by algebraic methods plays an important role in modern mathematics were we consider various operations on sets of functions, which are naturally defin...
Wiesław A. Dudek +1 more
openaire +1 more source
Menger Algebras and Clones of Cooperations
Algebra Colloquium, 2008The superposition of cooperations satisfies the well-known clone axioms (C1), (C2) and (C3). We define terms for indexed coalgebras of type τ, cooperations induced by those terms, and prove that the set of all induced cooperations forms a clone. This clone is equal to the clone of all cooperations generated by the fundamental cooperations of an ...
Klaus Denecke, Kittisak Saengsura
openaire +1 more source
algebra universalis, 1997
A Menger algebra of rank \(n\) is an algebra of the form \((G,\cdot)\), where \(\cdot\colon(x,y_1,\ldots,y_n)\to x[y_1\ldots y_n]\) is an \((n+1)\)-ary operation on \(G\) satisfying the superassociativity law \(x[y_1\ldots y_n][z_1\ldots z_n]=x[y_1[z_1\ldots z_n]\ldots y_n[z_1\ldots z_n]]\), where \(x[y_1\ldots y_n][z_1\ldots z_n]=(x[y_1\ldots y_n ...
openaire +1 more source
A Menger algebra of rank \(n\) is an algebra of the form \((G,\cdot)\), where \(\cdot\colon(x,y_1,\ldots,y_n)\to x[y_1\ldots y_n]\) is an \((n+1)\)-ary operation on \(G\) satisfying the superassociativity law \(x[y_1\ldots y_n][z_1\ldots z_n]=x[y_1[z_1\ldots z_n]\ldots y_n[z_1\ldots z_n]]\), where \(x[y_1\ldots y_n][z_1\ldots z_n]=(x[y_1\ldots y_n ...
openaire +1 more source
On some subtraction Menger algebras of multiplace functions
Semigroup Forum, 2016An \((n+1)\)-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)).
Dudek, Wieslaw A. +1 more
openaire +2 more sources