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Stationary subsets and stabilizers of restrictive Menger P-algebras of multiplace functions
Algebra Universalis, 2000A restrictive Menger \(P\)-algebra of \(n\)-place functions is any subset \(F\) of partial mappings \(f:A^n\rightarrow A\) which is closed under set-theoretical intersection, composition of functions and the so-called restrictive multiplication. For \(a\in A\), \(F_a\) denotes the subset of all \(f\in F\) with \(f(a,\ldots ,a)=a\), and \(F_{st}\) is ...
Valentin S Trokhimenko
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On dense subalgebras of post algebras and Menger algebras of continuous functions
Lecture Notes in Mathematics, 1984F. A. Gadjiev, A. A. Mal’cev
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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
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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
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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
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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 ...
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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 ...
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Theory of restrictive Menger algebras
Ukrainian Mathematical Journal, 1984Translation from Ukr. Mat. Zh. 36, No.1, 82-87 (Russian) (1984; Zbl 0537.20047).
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Connectivity relation on ordered Menger algebras
Ukrainian Mathematical Journal, 1984Translation from Ukr. Mat. Zh. 35, No.4, 461-466 (Russian) (1983; Zbl 0519.20054).
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