Arrow Type Impossibility Theorems over Median Algebras
Identifieur interne : 000396 ( Main/Exploration ); précédent : 000395; suivant : 000397Arrow Type Impossibility Theorems over Median Algebras
Auteurs : Miguel Couceiro [France] ; Stephan Foldes [France] ; Gerasimos Meletiou [Grèce]Source :
Abstract
We characterize trees as median algebras and semilattices by relaxing conservativeness. Moreover, we describe median homomorphisms between products of median algebras and show that Arrow type impossibility theorems for mappings from a product A 1 x...x An of median algebras to a median algebra B are possible if and only if B is a tree, when thought of as an ordered structure.
Url:
Affiliations:
- France, Grèce
- Auvergne-Rhône-Alpes, Grand Est, Lorraine (région), Rhône-Alpes
- Grenoble, Metz, Nancy
- Université Joseph Fourier, Université de Grenoble, Université de Lorraine
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Moreover, we describe median homomorphisms between products of median algebras and show that Arrow type impossibility theorems for mappings from a product A 1 x...x An of median algebras to a median algebra B are possible if and only if B is a tree, when thought of as an ordered structure.</div></front></TEI><affiliations><list><country><li>France</li><li>Grèce</li></country><region><li>Auvergne-Rhône-Alpes</li><li>Grand Est</li><li>Lorraine (région)</li><li>Rhône-Alpes</li></region><settlement><li>Grenoble</li><li>Metz</li><li>Nancy</li></settlement><orgName><li>Université Joseph Fourier</li><li>Université de Grenoble</li><li>Université de Lorraine</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Couceiro, Miguel" sort="Couceiro, Miguel" uniqKey="Couceiro M" first="Miguel" last="Couceiro">Miguel Couceiro</name></region><name sortKey="Foldes, Stephan" sort="Foldes, Stephan" uniqKey="Foldes S" first="Stephan" last="Foldes">Stephan Foldes</name></country><country name="Grèce"><noRegion><name sortKey="Meletiou, Gerasimos" sort="Meletiou, Gerasimos" uniqKey="Meletiou G" first="Gerasimos" last="Meletiou">Gerasimos Meletiou</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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