On finite MTL-algebras that are representable as poset products of archimedean chains
Castiglioni, J. L. · Botero, W. J. Zuluaga
Original · EN
We obtain a duality between certain category of finite MTL-algebras and the category of finite labeled trees. In addition we prove that certain poset products of MTL-algebras are essentialy sheaves of MTL-chains over Alexandrov spaces. Finally we give a concrete description for the studied poset products in terms of direct products and ordinal sums of finite MTL-algebras.
English translation
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