On non-Spechtianness of the variety of associative rings that satisfy the identity .
Grishin, A.V. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Grishin, A.V. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Stanley Burris (1971)
Colloquium Mathematicae
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Giambruno, A., Zaicev, M. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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W. Bartol, D. Niwiński, L. Rudak (1985)
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Börner, Ferdinand (1996)
Beiträge zur Algebra und Geometrie
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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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Dietmar Schweigert (1988)
Banach Center Publications
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J. Płonka (1987)
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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.
B. Wozniakowska (1985)
Semigroup forum
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