Group Representation for Even and Odd Involutive Commutative Residuated Chains

Studia Logica 110 (4):881-922 (2022)
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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. Dunnabout finite Sugihara monoids.

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