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arXiv · 1708.03306

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

J. L. Castiglioni·W. J. Zuluaga Botero
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Abstract

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.

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J. L. Castiglioni, W. J. Zuluaga Botero. 2017-08-10. On finite MTL-algebras that are representable as poset products of archimedean chains. https://arxiv.org/abs/1708.03306

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