Implicit algebraic geometry of universal algebras

A. G. Pinus

Chair of Algebra and Mathematical Logic, Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: Using the notion of an implicit operation on universal algebras, we redefine basic notions of the algebraic geometry of universal algebras. The results obtained for the implicit algebraic geometry imply (as special cases) the known results on the conditional geometrical and algebraic geometrical comparability of algebras.

Keywords: algebraic, conditional algebraic geometries of universal algebras, implicit operations, varieties, pseudovarieties.

UDC: 512.56

Received: 23.05.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:5, 34–38

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