The concept of (ν)-equivalence in algebraic deformation theory
M. Roczen (1982)
Banach Center Publications
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M. Roczen (1982)
Banach Center Publications
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Adam Obtułowicz, Antoni Wiweger (1982)
Banach Center Publications
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Federico De Marchi, Neil Ghani, Christoph Lüth (2010)
RAIRO - Theoretical Informatics and Applications
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Algebraic systems of equations define functions using recursion where parameter passing is permitted. This generalizes the notion of a rational system of equations where parameter passing is prohibited. It has been known for some time that algebraic systems in have unique solutions. This paper presents a categorical approach to algebraic systems of equations which generalizes the traditional approach in two ways i) we define algebraic equations for locally finitely presentable ...
J. J. Dukarm (1988)
Colloquium Mathematicae
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Józef Tabor (1973)
Annales Polonici Mathematici
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Kazimierz Urbanik (1968)
Fundamenta Mathematicae
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Jan Mycielski, Czesław Ryll-Nardzewski (1967)
Fundamenta Mathematicae
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Józef Tabor
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CONTENTSIntroduction.......................................................................................................... 5II. Quasi-transitive algebraic objects....................................................................... 12III. Rank of the quasi-transitivity of algebraic objects........................................... 22IV. Commutative algebraic objects.......................................................................... 25V. Regular algebraic objects........................................................................................
A. Tognoli (1979-1980)
Séminaire Bourbaki
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Klaus Denecke, Dara Phusanga (2009)
Discussiones Mathematicae - General Algebra and Applications
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In [2] the theory of hyperidentities and solid varieties was extended to algebraic systems and solid model classes of algebraic systems. The disadvantage of this approach is that it needs the concept of a formula system. In this paper we present a different approach which is based on the concept of a relational clone. The main result is a characterization of solid model classes of algebraic systems. The results will be applied to study the properties of the monoid of all hypersubstitutions...