Algebraic functions in quasiprimal algebras
Copyright policy )Algebraic functions in quasiprimal algebras
A function is algebraic on an algebra if it can be implicitly defined by a system of equations on . In this note we give a semantic characterization for algebraic functions on quasiprimal algebras. This characterization is applied to obtain necessary and sufficient conditions for a quasiprimal algebra to have every one of its algebraic functions be a term function. We also apply our results to particular algebras such as finite fields and monadic algebras.
- National Scientific and Technical Research Council Argentina
- National University of Córdoba Argentina
- Ofician Conocimento Abierto UNC Argentina
Discriminator, Operations and polynomials in algebraic structures, primal algebras, Model theory of finite structures, finite algebras, Quasiprimal Algebra, discriminator function, Equational Definability, quasiprimal algebras, equational function definition, Definability, Algebraic function, Quasiprimal algebra, Algebraic Function, Equational classes, universal algebra in model theory, algebraic functions, https://purl.org/becyt/ford/1.1, term functions, https://purl.org/becyt/ford/1, Quasivarieties
Discriminator, Operations and polynomials in algebraic structures, primal algebras, Model theory of finite structures, finite algebras, Quasiprimal Algebra, discriminator function, Equational Definability, quasiprimal algebras, equational function definition, Definability, Algebraic function, Quasiprimal algebra, Algebraic Function, Equational classes, universal algebra in model theory, algebraic functions, https://purl.org/becyt/ford/1.1, term functions, https://purl.org/becyt/ford/1, Quasivarieties
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