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...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2007 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157346 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862737537527709696 |
|---|---|
| author | Mathonet, P. Niederkorn, P. Teheux, B. |
| author_facet | Mathonet, P. Niederkorn, P. Teheux, B. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T19:59:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157346 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:59:43Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| 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 |
| spellingShingle | Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra Mathonet, P. Niederkorn, P. Teheux, B. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157346 |
| work_keys_str_mv | AT mathonetp naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra AT niederkornp naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra AT teheuxb naturaldualitiesforvarietiesgeneratedbyasetofsubalgebrasofasemiprimalalgebra |