On the dimension of a composition algebra.
Rost, Markus (1996)
Documenta Mathematica
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Rost, Markus (1996)
Documenta Mathematica
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Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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Daniel W. Stroock (1976)
Colloquium Mathematicae
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Arzumanyan, V.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Cedilnik, A. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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G. Grätzer, J. Sichler (1974)
Colloquium Mathematicae
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Marcus Tressl (2002)
Banach Center Publications
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Kazimierz Urbanik (1969)
Colloquium Mathematicum
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T. P. Speed (1971)
Colloquium Mathematicae
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Tvalavadze, Marina (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 17D15. Secondary 17D05, 17B35, 17A99. This is a survey paper to summarize the latest results on the universal enveloping algebras of Malcev algebras, triple systems and Leibniz n-ary algebras.
Noriaki Kamiya, Daniel Mondoc, Susumu Okubo (2011)
Banach Center Publications
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In this paper we give a review on δ-structurable algebras. A connection between Malcev algebras and a generalization of δ-structurable algebras is also given.
Leon Henkin, Diane Resek (1975)
Fundamenta 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...
Doty, Stephen, Giaquinto, Anthony (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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R. Beazer (1974)
Colloquium Mathematicae
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Christoph Bandt (1979)
Colloquium Mathematicae
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Dag Madsen (2006)
Colloquium Mathematicae
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Using derived categories, we develop an alternative approach to defining Koszulness for positively graded algebras where the degree zero part is not necessarily semisimple.