Small deformations of topological algebras
Mati Abel, Krzysztof Jarosz (2003)
Studia Mathematica
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We investigate stability of various classes of topological algebras and individual algebras under small deformations of multiplication.
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Displaying similar documents to “Homotonic algebras”
Small deformations of topological algebras
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The class of 2-dimensional neat reducts is not elementary
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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...
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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.
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