A representation theorem for Post-like algebras
B. Węglorz (1970)
Colloquium Mathematicae
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B. Węglorz (1970)
Colloquium Mathematicae
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Roberto Cignoli (1972)
Colloquium Mathematicae
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Zhaofang Bai, Jinchuan Hou, Zongben Xu (2004)
Studia Mathematica
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We characterize surjective nonlinear maps Φ between unital C*-algebras 𝒜 and ℬ that satisfy w(Φ(A)-Φ(B))) = w(A-B) for all A,B ∈ 𝒜 under a mild condition that Φ(I) - Φ(0) belongs to the center of ℬ, where w(A) is the numerical radius of A and I is the unit of 𝒜.
K. Urbanik (1966)
Fundamenta 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.
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.
R. Beazer (1974)
Colloquium Mathematicae
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T. P. Speed (1971)
Colloquium Mathematicae
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Daniel W. Stroock (1976)
Colloquium Mathematicae
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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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Stanislaw Kasjan (2002)
Colloquium Mathematicae
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We apply van den Dries's test to the class of algebras (over algebraically closed fields) which are not representation-directed and prove that this class is axiomatizable by a positive quantifier-free formula. It follows that the representation-directed algebras form an open ℤ-scheme.
Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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