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:
| Дата: | 2007 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-157346 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1573462019-06-21T01:30:10Z Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra Mathonet, P. Niederkorn, P. Teheux, B. 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. 2007 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/157346 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Mathonet, P. Niederkorn, P. Teheux, B. |
| spellingShingle |
Mathonet, P. Niederkorn, P. Teheux, B. Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra Algebra and Discrete Mathematics |
| author_facet |
Mathonet, P. Niederkorn, P. Teheux, B. |
| author_sort |
Mathonet, P. |
| title |
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT mathonetp naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra AT niederkornp naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra AT teheuxb naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra |
| first_indexed |
2023-05-20T17:52:31Z |
| last_indexed |
2023-05-20T17:52:31Z |
| _version_ |
1796154293935407104 |