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 the fini...
Збережено в:
| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2007 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157346 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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| id |
nasplib_isofts_kiev_ua-123456789-157346 |
|---|---|
| record_format |
dspace |
| spelling |
Mathonet, P. Niederkorn, P. Teheux, B. 2019-06-20T02:43:09Z 2019-06-20T02:43:09Z 2007 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. 1726-3255 2000 Mathematics Subject Classification: 06D35; 08B. https://nasplib.isofts.kiev.ua/handle/123456789/157346 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. We want to thank the anonymous referee for his fruitful suggestions. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| spellingShingle |
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra Mathonet, P. Niederkorn, P. Teheux, B. |
| title_short |
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| title_full |
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| title_fullStr |
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| title_full_unstemmed |
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| title_sort |
natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| author |
Mathonet, P. Niederkorn, P. Teheux, B. |
| author_facet |
Mathonet, P. Niederkorn, P. Teheux, B. |
| publishDate |
2007 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/157346 |
| citation_txt |
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. |
| work_keys_str_mv |
AT mathonetp naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra AT niederkornp naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra AT teheuxb naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra |
| first_indexed |
2025-12-07T19:59:43Z |
| last_indexed |
2025-12-07T19:59:43Z |
| _version_ |
1850880906556866560 |