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 SM ISO690:2012PLOTKIN, 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 | ||||||
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| Pag. 33-42 | ||||||
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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 |
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| Cuvinte-cheie Variety of algebras, free algebra, algebraic (logical) geometry in variety, geometrically (logically) equivalent algebras |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Plotkin, B.</dc:creator> <dc:date>2007-08-01</dc:date> <dc:description xml:lang='en'>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 </dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 54 (2) 33-42</dc:source> <dc:subject>Variety of algebras</dc:subject> <dc:subject>free algebra</dc:subject> <dc:subject>algebraic (logical) geometry in variety</dc:subject> <dc:subject>geometrically (logically) equivalent algebras</dc:subject> <dc:title>Locicaly separable algebras in varieties of algebras</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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