Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
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...
Збережено в:
| Опубліковано в: | Algebra and Discrete Mathematics |
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| Дата: | 2007 |
| ISSN: | 1726-3255 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157346 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra / P. Mathonet, P. Niederkorn, B. Teheux // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 1. — С. 67–85. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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,. . . ).
Eventually, we illustrate this work for the finitely generated varieties of MV-algebras.
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| ISSN: | 1726-3255 |