Representation of Łukasiewicz and Post algebras by continuous functions
Roberto Cignoli (1972)
Colloquium Mathematicae
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Roberto Cignoli (1972)
Colloquium Mathematicae
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Alicja Jaworska-Pastuszak, Andrzej Skowroński (2013)
Colloquium Mathematicae
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We describe the structure of finite-dimensional algebras of domestic representation type over an algebraically closed field whose Auslander-Reiten quiver consists of generalized standard and semiregular components. Moreover, we prove that this class of algebras contains all special biserial algebras whose Auslander-Reiten quiver consists of semiregular components.
Mazorchuk, Volodymyr (1999)
Beiträge zur Algebra und Geometrie
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Stanisław Kasjan (2002)
Fundamenta Mathematicae
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Associative algebras of fixed dimension over algebraically closed fields of fixed characteristic are considered. It is proved that the class of algebras of tame representation type is axiomatizable. Moreover, finite axiomatizability of this class is equivalent to the conjecture that the algebras of tame representation type form a Zariski-open subset in the variety of algebras.
P. Kratochvil (1971)
Colloquium Mathematicae
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Zygmunt Pogorzały, Mirosława Sufranek (2004)
Colloquium Mathematicae
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The class of n-fundamental algebras is introduced. It is a subclass of string algebras. For n-fundamental algebras we study the problem of when the Auslander-Reiten quiver contains, at the beginning or at the end, a component which is not generalized standard.
T. P. Speed (1971)
Colloquium Mathematicae
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R. Beazer (1974)
Colloquium Mathematicae
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Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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Arzumanyan, V.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Cedilnik, A. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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G. Grätzer, J. Sichler (1974)
Colloquium Mathematicae
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Marcus Tressl (2002)
Banach Center Publications
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Kazimierz Urbanik (1969)
Colloquium Mathematicum
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Daniel W. Stroock (1976)
Colloquium Mathematicae
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Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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Noriaki Kamiya, Daniel Mondoc, Susumu Okubo (2011)
Banach Center Publications
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In this paper we give a review on δ-structurable algebras. A connection between Malcev algebras and a generalization of δ-structurable algebras is also given.