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Algebra and Discrete Mathematics, 2007, выпуск 1, страницы 67–85
(Mi adm189)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
RESEARCH ARTICLE
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
P. Mathonet, P. Niederkorn, B. Teheux University of Liège, Department of Mathematics, Grande Traverse, 12, Liège 4000, Belgium
Аннотация:
The main contribution of this paper is the construction of a strong duality for the varieties generated by a set of subalgebras of a semi-primal algebra. We also obtain an axiomatization of the objects of the dual category and develop some algebraic consequences (description of the dual of the finite structures and algebras, construction of finitely generated free algebras,\ldots). Eventually, we illustrate this work for the finitely generated varieties of MV-algebras.
Ключевые слова:
MV-algebras, Natural duality, Semi-primal algebras.
Поступила в редакцию: 23.04.2007 Исправленный вариант: 25.05.2007
Образец цитирования:
P. Mathonet, P. Niederkorn, B. Teheux, “Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra”, Algebra Discrete Math., 2007, no. 1, 67–85
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm189 https://www.mathnet.ru/rus/adm/y2007/i1/p67
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Страница аннотации: | 105 | PDF полного текста: | 50 | Первая страница: | 1 |
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