English

Group representation for even and odd involutive commutative residuated chains

Rings and Algebras 2023-06-27 v8 Logic Representation Theory

Abstract

For odd and for even involutive, commutative residuated chains a representation theorem is presented in this paper by means of direct systems of abelian o-groups equipped with further structure. This generalizes the corresponding result of J. M. Dunn about finite Sugihara monoids.

Keywords

Cite

@article{arxiv.1910.01404,
  title  = {Group representation for even and odd involutive commutative residuated chains},
  author = {Sándor Jenei},
  journal= {arXiv preprint arXiv:1910.01404},
  year   = {2023}
}

Comments

This is the version which appeared in Studia Logica