A note on varieties of unary algebras
Stanley Burris (1971)
Colloquium Mathematicae
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Displaying similar documents to “Characterizing Non-Matrix Properties of Varieties of Algebras in the Language of Forbidden Objects”
A note on varieties of unary algebras
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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Completion varieties
W. Bartol, D. Niwiński, L. Rudak (1985)
Colloquium Mathematicae
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Minimal varieties of algebras of exponential growth.
Giambruno, A., Zaicev, M. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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On varieties of non-indexed algebras
Libor Polák (1977)
Archivum Mathematicum
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CB-degenerations and rigid degenerations of algebras
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.
Varieties of partial algebras.
Börner, Ferdinand (1996)
Beiträge zur Algebra und Geometrie
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Varieties of modules over tubular algebras
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.
The lattice of varieties of fibered automata
Anna Mućka (2006)
Discussiones Mathematicae - General Algebra and Applications
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The class of all fibered automata is a variety of two-sorted algebras. This paper provides a full description of the lattice of varieties of fibred automata.
Asymptotic Behaviour of Colength of Varieties of Lie Algebras
Mishchenko, S., Zaicev, M. (2000)
Serdica Mathematical Journal
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This project was partially supported by RFBR, grants 99-01-00233, 98-01-01020 and 00-15-96128. We study the asymptotic behaviour of numerical characteristics of polynomial identities of Lie algebras over a field of characteristic 0. In particular we investigate the colength for the cocharacters of polynilpotent varieties of Lie algebras. We prove that there exist polynilpotent Lie varieties with exponential and overexponential colength growth. We give the exact asymptotics...
Varieties and sums of rings.
Kelarev, A.V. (2000)
Beiträge zur Algebra und Geometrie
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On equations of clones
Dietmar Schweigert (1988)
Banach Center Publications
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Hyperidentities in many-sorted algebras
Klaus Denecke, Somsak Lekkoksung (2009)
Discussiones Mathematicae - General Algebra and Applications
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The theory of hyperidentities generalizes the equational theory of universal algebras and is applicable in several fields of science, especially in computers sciences (see e.g. [2,1]). The main tool to study hyperidentities is the concept of a hypersubstitution. Hypersubstitutions of many-sorted algebras were studied in [3]. On the basis of hypersubstitutions one defines a pair of closure operators which turns out to be a conjugate pair. The theory of conjugate pairs of additive closure...