Varieties with isomorphic free algebras
David M. Clark (1969)
Colloquium Mathematicae
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Displaying similar documents to “A semi group representation of varieties of algebras”
Varieties with isomorphic free algebras
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CB-degenerations and rigid degenerations of algebras
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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.
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Grishin, A.V. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Characterizing Non-Matrix Properties of Varieties of Algebras in the Language of Forbidden Objects
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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.
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Robin Hartshorne
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Banach Center Publications
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Colloquium Mathematicae
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