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arXiv:1708.03306 [math.LO]AbstractReferencesReviewsResources

On finite MTL-algebras that are representable as poset products of archimedean chains

J. L. Castiglioni, W. J. Zuluaga Botero

Published 2017-08-10Version 1

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.

Comments: Draft version. Comments are welcome
Categories: math.LO, math.CT
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