Locicaly separable algebras in varieties of algebras
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2016-04-28 09:15
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PLOTKIN, Boris. Locicaly separable algebras in varieties of algebras. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, nr. 2(54), pp. 33-42. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(54) / 2007 / ISSN 1024-7696 /ISSNe 2587-4322

Locicaly separable algebras in varieties of algebras

Pag. 33-42

Plotkin Boris
 
The Hebrew University of Jerusalem
 
 
Disponibil în IBN: 15 decembrie 2013


Rezumat

Let Θ be an arbitrary variety of algebras and H be an algebra in Θ. Along with algebraic geometry in Θ over the distinguished al gebra H we consider logical geometry in Θ over H . This insight leads to a system of notions and stimulates a number of new problems. We introduce a notion of logically separable in Θ algebras and consider it in the frames of logically-geometrical relations between different H 1 and H 2 in Θ. The paper is aimed to give a flavor of a rather new subject i n a short and concentrated manner

Cuvinte-cheie
Variety of algebras,

free algebra, algebraic (logical) geometry in variety, geometrically (logically) equivalent algebras