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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, номер 2, страницы 33–42 (Mi basm60)

Locicaly separable algebras in varieties of algebras

B. Plotkin

Einstein Institute of Mathematics, Edmond J. Sarfa Campus, Givat Ram Hebrew University of Jerusalem, Jerusalem, Isarael

Аннотация: Let $\Theta$ be an arbitrary variety of algebras and $H$ be an algebra in $\Theta$. Along with algebraic geometry in $\Theta$ over the distinguished algebra $H$ we consider logical geometry in $\Theta$ 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 $\Theta$ algebras and consider it in the frames of logically-geometrical relations between different $H_1$ and $H_2$ in $\Theta$. The paper is aimed to give a flavor of a rather new subject in a short and concentrated manner.

Ключевые слова и фразы: Variety of algebras, free algebra, algebraic (logical) geometry in variety, geometrically (logically) equivalent algebras.

MSC: 08C05, 08B20

Поступила в редакцию: 08.07.2007

Язык публикации: английский



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