Fussner, Wesley; Gehrke, Mai; van Gool, Samuel J.; Marra, Vincenzo (2021). Priestley duality for MV-algebras and beyond. Forum mathematicum, 33(4), pp. 899-921. De Gruyter 10.1515/forum-2020-0115
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We provide a new perspective on extended Priestley duality for a large class of distributive lattices equipped with binary double quasioperators. Under this approach, non-lattice binary operations are each presented as a pair of partial binary operations on dual spaces. In this enriched environment, equational conditions on the algebraic side of the duality may more often be rendered as first-order conditions on dual spaces. In particular, we specialize our general results to the variety of MV-algebras, obtaining a duality for these in which the equations axiomatizing MV-algebras are dualized as first-order conditions.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Fussner, Daniel Wesley |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0933-7741 |
Publisher: |
De Gruyter |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
10 Feb 2022 12:19 |
Last Modified: |
05 Dec 2022 16:05 |
Publisher DOI: |
10.1515/forum-2020-0115 |
BORIS DOI: |
10.48350/164788 |
URI: |
https://boris.unibe.ch/id/eprint/164788 |
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