English

Generalized Chain Products of MTL-chains

Logic 2018-11-13 v1

Abstract

In this paper we present a different approach to ordinal sums of MTL-chains, as extensions of finite chains in the category of semihoops. In addition, we prove in a very simple way that every finite locally unital MTL-chain can be decomposed as an ordinal sum of archimedean MTL-chains. Furthermore, we introduce Generalized Chain Products of MTL-chains and we show that ordinal sums of locally unital MTL-chains are particular cases of those.

Keywords

Cite

@article{arxiv.1811.04845,
  title  = {Generalized Chain Products of MTL-chains},
  author = {Jose L Castiglioni and William J. Zuluaga Botero},
  journal= {arXiv preprint arXiv:1811.04845},
  year   = {2018}
}

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10 pages