Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
Репозиторій DSpace/Manakin
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Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
Інший ID:
2000 Mathematics Subject Classification: 06D35; 08B.
Посилання:
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.
Підтримка:
We want to thank the anonymous referee for his fruitful suggestions.
Дата:
2007
Переглядів:
445
Завантажень:
155
Анотація:
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.
