On a method of construction of abstract algebras
Jerzy Płonka (1967)
Fundamenta Mathematicae
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Displaying similar documents to “An application of the Sakai's theorem to the characterization of - algebras.”
On a method of construction of abstract algebras
The class of 2-dimensional neat reducts is not elementary
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...
Some comments on independent σ-algebras
Daniel W. Stroock (1976)
Colloquium Mathematicae
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The p-semisimple property for some generalizations of BCI algebras and its applications
Lidia Obojska, Andrzej Walendziak (2020)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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This paper presents some generalizations of BCI algebras (the RM, tRM, *RM, RM**, *RM**, aRM**, *aRM**, BCH**, BZ, pre-BZ and pre-BCI algebras). We investigate the p-semisimple property for algebras mentioned above; give some examples and display various conditions equivalent to p-semisimplicity. Finally, we present a model of mereology without antisymmetry (NAM) which could represent a tRM algebra.
On normal Agassiz systems of algebras
Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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A characterization of
Jan Čerych (1980)
Commentationes Mathematicae Universitatis Carolinae
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Operator algebras associated with polymorphisms.
Arzumanyan, V.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Subalternative algebras.
Cedilnik, A. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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Agassiz sum of algebras
G. Grätzer, J. Sichler (1974)
Colloquium Mathematicae
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A structure theorem for differential algebras
Marcus Tressl (2002)
Banach Center Publications
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A remark on v*-algebras
Kazimierz Urbanik (1969)
Colloquium Mathematicum
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Nonassociative real H*-algebras.
Miguel Cabrera, José Martínez Aroza, Angel Rodríguez Palacios (1988)
Publicacions Matemàtiques
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We prove that, if A denotes a topologically simple real (non-associative) H*-algebra, then either A is a topologically simple complex H*-algebra regarded as real H*-algebra or there is a topologically simple complex H*-algebra B with *-involution τ such that A = {b ∈ B : τ(b) = b*}. Using this, we obtain our main result, namely: (algebraically) isomorphic topologically simple real H*-algebras are actually *-isometrically isomorphic.
Some remarks on Post algebras
R. Beazer (1974)
Colloquium Mathematicae
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A review on δ-structurable 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.