On classes of algebras definable by regular equations
Reinhard John (1976)
Colloquium Mathematicae
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Displaying similar documents to “Even equations and Agassiz sums”
On classes of algebras definable by regular equations
Minimal generics of some regular varieties
Hilda Draškovičová, Jerzy Płonka (1991)
Mathematica Slovaca
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On equational classes of abstract algebras defined by regular equations
Jerzy Płonka (1969)
Fundamenta Mathematicae
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The class of algebras in which weak independence is equivalent to direct sums independence
Robert M. Vancko (1974)
Colloquium Mathematicae
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Equivalential algebras with conjunction on the regular elements
Sławomir Przybyło (2021)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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We introduce the definition of the three-element equivalential algebra R with conjunction on the regular elements. We study the variety generated by R and prove the Representation Theorem. Then, we construct the finitely generated free algebras and compute the free spectra in this variety.
Varieties of partial algebras.
Börner, Ferdinand (1996)
Beiträge zur Algebra und Geometrie
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The coherent algebras in the varieties of Ockham algebras
Ramalho, Margarita (1993)
Portugaliae mathematica
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Artin-Schelter regular algebras of dimension five
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.
On regular and extremely regular algebras
Sweet, Lowell (1983-1984)
Portugaliae mathematica
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Varieties and sums of rings.
Kelarev, A.V. (2000)
Beiträge zur Algebra und Geometrie
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A general existence theorem on partial algebras and its special cases
J. Schmidt (1966)
Colloquium Mathematicae
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Free Bicommutative Algebras
Dzhumadil'daev, A. S., Ismailov, N. A., Tulenbaev, K. M. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 17A50, Secondary 16R10, 17A30, 17D25, 17C50. Algebras with identities a(bc)=b(ac), (ab)c=(ac)b is called bicommutative. Bases and the cocharacter sequence for free bicommutative algebras are found. It is shown that the exponent of the variety of bicommutaive algebras is equal to 2.
Not every equational class of infinitary algebras contains a simple algebra
Evelyn Nelson (1974)
Colloquium Mathematicae
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Identities for globals (complex algebras) of algebras
G. Grätzer, H. Lakser (1988)
Colloquium Mathematicae
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