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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, Number 2, Pages 33–42
(Mi basm60)
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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
Abstract:
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.
Keywords and phrases:
Variety of algebras, free algebra, algebraic (logical) geometry in variety, geometrically (logically) equivalent algebras.
Received: 08.07.2007
Citation:
B. Plotkin, “Locicaly separable algebras in varieties of algebras”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, no. 2, 33–42
Linking options:
https://www.mathnet.ru/eng/basm60 https://www.mathnet.ru/eng/basm/y2007/i2/p33
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Abstract page: | 158 | Full-text PDF : | 59 | References: | 42 | First page: | 1 |
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