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.
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.
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.
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.
B. Węglorz (1970)
Colloquium Mathematicae
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Roberto Cignoli (1972)
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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Daniel W. Stroock (1976)
Colloquium Mathematicae
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Flávio U. Coelho, Ma. I. R. Martins, Bertha Tomé (2004)
Colloquium Mathematicae
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We study the simple connectedness and strong simple connectedness of the following classes of algebras: (tame) coil enlargements of tame concealed algebras and n-iterated coil enlargement algebras.
Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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T. P. Speed (1971)
Colloquium 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.
Mazorchuk, Volodymyr (1999)
Beiträge zur Algebra und Geometrie
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Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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R. Beazer (1974)
Colloquium Mathematicae
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Christoph Bandt (1979)
Colloquium Mathematicae
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