On perpendicular categories of stones over quiver algebras.
D. Happel, S. Hartlieb, O. Kerner (1996)
Commentarii mathematici Helvetici
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D. Happel, S. Hartlieb, O. Kerner (1996)
Commentarii mathematici Helvetici
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George A. Elliott, Mikael Rordam (1995)
Commentarii mathematici Helvetici
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Kirillov, A.A. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Chunyue Wang, Qingcheng Zhang (2018)
Czechoslovak Mathematical Journal
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We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.
Justyna Kosakowska (2009)
Colloquium Mathematicae
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We define and investigate Ringel-Hall algebras of coalgebras (usually infinite-dimensional). We extend Ringel's results [Banach Center Publ. 26 (1990) and Adv. Math. 84 (1990)] from finite-dimensional algebras to infinite-dimensional coalgebras.
Galitski, L.Yu., Timashev, D.A. (1999)
Journal of Lie Theory
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Generalov, A.I. (2002)
Zapiski Nauchnykh Seminarov POMI
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Alberto C. Elduque Palomo (1986)
Extracta Mathematicae
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In this paper the structure of the maximal elements of the lattice of subalgebras of central simple non-Lie Malcev algebras is considered. Such maximal subalgebras are studied in two ways: first by using theoretical results concerning Malcev algebras, and second by using the close connection between these simple non-Lie Malcev algebras and the Cayley-Dickson algebras, which have been extensively studied (see [4]).
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.
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.
M.L. Ranga Rao (1975)
Commentarii mathematici Helvetici
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Tvalavadze, Marina (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 17D15. Secondary 17D05, 17B35, 17A99. This is a survey paper to summarize the latest results on the universal enveloping algebras of Malcev algebras, triple systems and Leibniz n-ary algebras.
Zhelobenko, D.P. (1999)
Lobachevskii Journal of Mathematics
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