[en] 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.
Disciplines :
Mathematics
Author, co-author :
Mathonet, Pierre ; Université de Liège - ULiège > Département de mathématique > Département de mathématique
Niederkorn, Philippe
Teheux, Bruno ; Université de Liège - ULiège > Département de mathématique > Algèbre et logique
Language :
English
Title :
Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra
Publication date :
2007
Journal title :
Algebra and Discrete Mathematics
ISSN :
1726-3255
eISSN :
2415-721X
Publisher :
Institute of Applied Mathematics And Mechanics of the National Academy of Sciences of Ukraine, Ukraine
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.