On equational classes of abstract algebras defined by regular equations
Jerzy Płonka (1969)
Fundamenta Mathematicae
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Jerzy Płonka (1969)
Fundamenta Mathematicae
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Gunnar Fløystad, Jon Eivind Vatne (2011)
Banach Center Publications
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We show that there are exactly three types of Hilbert series of Artin-Schelter regular algebras of dimension five with two generators. One of these cases (the most extreme) may not be realized by an enveloping algebra of a graded Lie algebra. This is a new phenomenon compared to lower dimensions, where all resolution types may be realized by such enveloping algebras.
Emília Halušková (2016)
Bulletin of the Section of Logic
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Axiomatic classes of algebras of a given type which are closed with respect to direct limits are studied in this paper.
J. Jeżek
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CONTENTS1. Introduction and preliminaries.............................................................................. 52. Pre-scategories and scategories......................................................................... 63. Scategorization......................................................................................................... 84. Abstract scategories................................................................................................ 95. Substructures...
Evelyn Nelson (1974)
Colloquium Mathematicae
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Sweet, Lowell (1983-1984)
Portugaliae mathematica
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G. C. Wraith (1971)
Colloquium Mathematicae
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Tarek Sayed Ahmed (2002)
Fundamenta Mathematicae
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SC, CA, QA and QEA stand for the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasipolyadic algebras and Halmos' quasipolyadic algebras with equality, respectively. Generalizing a result of Andréka and Németi on cylindric algebras, we show that for K ∈ SC,QA,CA,QEA and any β > 2 the class of 2-dimensional neat reducts of β-dimensional algebras in K is not closed under forming elementary subalgebras, hence is not elementary. Whether this result extends...
Anthony C. Kable, Heather Russell, Nilabh Sanat (2006)
Acta Arithmetica
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Bernhard Banaschewski, Evelyn Nelson (1973)
Colloquium Mathematicae
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Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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Grzegorz Bobiński, Andrzej Skowroński (2001)
Colloquium Mathematicae
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We give a complete description of finite-dimensional selfinjective algebras of Euclidean tilted type over an algebraically closed field whose all nonperiodic Auslander-Reiten components are almost regular. In particular, we describe the tame selfinjective finite-dimensional algebras whose all nonperiodic Auslander-Reiten components are almost regular and generalized standard.
Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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J. Płonka (1973)
Colloquium Mathematicae
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Lieven Le Bruyn, M. Van den Bergh (1996)
Mathematische Zeitschrift
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