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Эта публикация цитируется в 18 научных статьях (всего в 18 статьях)
Статьи
Some logical invariants of algebras and logical relations between algebras
B. Plotkina, G. Zhitomirskib a Einstein Institute of Mathematics, Edmond J. Safra Campus,
Hebrew University of Jerusalem, Jerusalem, Israel
b Department of Mathematics, Bar-Ilan University, Ramat Gan, Israel
Аннотация:
Let $\Theta$ be an arbitrary variety of algebras and $H$ an algebra in $\Theta$. Along with algebraic geometry in $\Theta$ over the distinguished algebra $H$, a logical geometry in $\Theta$ over $H$ is considered. This insight leads to a system of notions and stimulates a number of new problems. Some logical invariants of algebras $H\in\Theta$ are introduced and logical relations between different $H_1$ and $H_2$ in $\Theta$ are analyzed. The paper contains a brief review of ideas of logical geometry (§ 1), the necessary material from algebraic logic (§ 2), and a deeper introduction to the subject (§ 3). Also, a list of problems is given.
Ключевые слова:
Variety of algebras, algebraic geometry, logical geometry.
Поступила в редакцию: 15.05.2007
Образец цитирования:
B. Plotkin, G. Zhitomirski, “Some logical invariants of algebras and logical relations between algebras”, Алгебра и анализ, 19:5 (2007), 214–245; St. Petersburg Math. J., 19:5 (2008), 829–852
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/aa142 https://www.mathnet.ru/rus/aa/v19/i5/p214
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Страница аннотации: | 347 | PDF полного текста: | 124 | Список литературы: | 55 | Первая страница: | 8 |
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