Minimal algebras in some class of algebras
K. Golema-Hartman (1976)
Colloquium Mathematicae
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K. Golema-Hartman (1976)
Colloquium Mathematicae
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Emília Halušková (2007)
Mathematica Slovaca
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A. Daigenault, D. Monk (1963)
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...
Cīrulis, Jānis (2004)
Novi Sad Journal of Mathematics
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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.
Flávio U. Coelho, José A. de la Peña, Sonia Trepode (2008)
Colloquium Mathematicae
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A minimal non-tilted triangular algebra such that any proper semiconvex subcategory is tilted is called a tilt-semicritical algebra. We study the tilt-semicritical algebras which are quasitilted or one-point extensions of tilted algebras of tame hereditary type. We establish inductive procedures to decide whether or not a given strongly simply connected algebra is tilted.
Stanley Burris (1973)
Fundamenta Mathematicae
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Jerzy Płonka (1973)
Fundamenta 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.