2009•Algebra & Number TheoryOpen access

On coproducts in varieties, quasivarieties and prevarieties

George M. Bergman

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Abstract

coproduct of algebras in a variety or quasivariety or prevariety, free algebra on n generators containing a subalgebra free on more than n generators, amalgamation property, number of algebras needed to generate a quasivariety or prevariety, symmetric group on an infinite set.

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coproduct of algebras in a variety or quasivariety or prevariety, free algebra on n generators containing a subalgebra free on more than n generators, amalgamation property, number of algebras needed to generate a quasivariety or prevariety, symmetric group on an infinite set.

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Available abstract

coproduct of algebras in a variety or quasivariety or prevariety, free algebra on n generators containing a subalgebra free on more than n generators, amalgamation property, number of algebras needed to generate a quasivariety or prevariety, symmetric group on an infinite set.

Key concepts: Subalgebra, Coproduct, Mathematics, Variety (cybernetics), Pure mathematics, Cartan subalgebra, Class (philosophy), Generator (circuit theory)

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