Algebraic functions and inner homomorphisms of universal algebras

A. G. Pinus

Novosibirsk State Technical University

Abstract: Basing on the notion of algebraic function in real function theory, we study the question of the syntactic definition of the functions on universal algebras whose graphs are algebraic or piecewise-algebraic sets.

Keywords: algebraic, global algebraic, and quasi-implicit functions, inner homomorphisms of universal algebras.

UDC: 512.56

MSC: 35R30

Received: 25.05.2019
Revised: 05.10.2019
Accepted: 08.04.2020

DOI: 10.33048/smzh.2020.61.314

 English version: Siberian Mathematical Journal, 2020, 61:3, 528–531

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