A representation theorem for Post-like algebras
B. Węglorz (1970)
Colloquium Mathematicae
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Displaying similar documents to “Representation-directed algebras form an open scheme”
A representation theorem for Post-like algebras
Representation of Łukasiewicz and Post algebras by continuous functions
Roberto Cignoli (1972)
Colloquium Mathematicae
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On domestic algebras of semiregular type
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.
On the problem of axiomatization of tame representation type
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.
Starting and ending components of the Auslander-Reiten quivers of a class of special biserial algebras
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.
Orthogonal Gelfand-Zetlin algebras. I.
Mazorchuk, Volodymyr (1999)
Beiträge zur Algebra und Geometrie
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Left sections and the left part of an artin algebra
Ibrahim Assem (2009)
Colloquium Mathematicae
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We define a notion of left section in an Auslander-Reiten component, by weakening one of the axioms for sections. We derive a generalisation of the Liu-Skowroński criterion for tilted algebras, then apply our results to describe the Auslander-Reiten components lying in the left part of an artin algebra.
Note on a representation of universal algebras as subdirect powers
P. Kratochvil (1971)
Colloquium Mathematicae
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On selfinjective artin algebras having nonperiodic generalized standard Auslander-Reiten components
Andrzej Skowroński, Kunio Yamagata (2003)
Colloquium Mathematicae
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We describe the structure of all selfinjective artin algebras having at least three nonperiodic generalized standard Auslander-Reiten components. In particular, all selfinjective artin algebras having a generalized standard Auslander-Reiten component of Euclidean type are described.
On selfinjective algebras of tilted type
Andrzej Skowroński, Kunio Yamagata (2015)
Colloquium Mathematicae
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We provide a characterization of all finite-dimensional selfinjective algebras over a field K which are socle equivalent to a prominent class of selfinjective algebras of tilted type.
A note on Post algebras
T. P. Speed (1971)
Colloquium Mathematicae
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Some remarks on Post algebras
R. Beazer (1974)
Colloquium Mathematicae
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On normal Agassiz systems of algebras
Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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Operator algebras associated with polymorphisms.
Arzumanyan, V.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Subalternative algebras.
Cedilnik, A. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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Agassiz sum of algebras
G. Grätzer, J. Sichler (1974)
Colloquium Mathematicae
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A structure theorem for differential algebras
Marcus Tressl (2002)
Banach Center Publications
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A remark on v*-algebras
Kazimierz Urbanik (1969)
Colloquium Mathematicum
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Some comments on independent σ-algebras
Daniel W. Stroock (1976)
Colloquium Mathematicae
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Relativization of cylindric algebras
Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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A review on δ-structurable algebras
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.