A note on varieties of unary algebras
Stanley Burris (1971)
Colloquium Mathematicae
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Stanley Burris (1971)
Colloquium Mathematicae
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W. Bartol, D. Niwiński, L. Rudak (1985)
Colloquium Mathematicae
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Klaus Thomsen (1988)
Journal für die reine und angewandte Mathematik
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Grishin, A.V. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Finogenova, Olga (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 16R10, 16R40. We discuss characterizations of some non-matrix properties of varieties of associative algebras in the language of forbidden objects. Properties under consideration include the Engel property, Lie nilpotency, permutativity. We formulate a few open problems. * The author acknowledges support from the Russian Foundation for Basic Research, grant 10-01-00524.
Libor Polák (1977)
Archivum Mathematicum
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Adam Hajduk (2006)
Colloquium Mathematicae
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The main aim of this note is to prove that if k is an algebraically closed field and a k-algebra A₀ is a CB-degeneration of a finite-dimensional k-algebra A₁, then there exists a factor algebra Ā₀ of A₀ of the same dimension as A₁ such that Ā₀ is a CB-degeneration of A₁. As a consequence, Ā₀ is a rigid degeneration of A₁, provided A₀ is basic.
Giambruno, A., Zaicev, M. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Nikita A. Karpenko (1995)
Manuscripta mathematica
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Christof Geiss, Jan Schröer (2003)
Colloquium Mathematicae
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We classify the irreducible components of varieties of modules over tubular algebras. Our results are stated in terms of root combinatorics. They can be applied to understand the varieties of modules over the preprojective algebras of Dynkin type 𝔸₅ and 𝔻₄.
Moretó, Alexander (2005)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Dietmar Schweigert (1988)
Banach Center Publications
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Börner, Ferdinand (1996)
Beiträge zur Algebra und Geometrie
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T. Giordano (1988)
Journal für die reine und angewandte Mathematik
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