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.
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03 August 2023
A Correction to this paper has been published: https://doi.org/10.1007/s11225-023-10059-0
20 April 2022
A Correction to this paper has been published: https://doi.org/10.1007/s11225-022-09991-4
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Open access funding provided by University of Pécs. The present scientific contribution was supported by the GINOP 2.3.2-15-2016-00022 grant and the Higher Education Institutional Excellence Programme 20765-3/2018/FEKUTSTRAT of the Ministry of Human Capacities in Hungary.
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Presented by Francesco Paoli
The original online version of this article was revised: The errors in the sections “Bunches of Layer Algebras vs. Bunches of Layer Groups”, “Odd and Even Involutive FLe-chains vs. Bunches of Layer Algebras”, and “Theorem 8.1” are corrected.
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Jenei, S. Group Representation for Even and Odd Involutive Commutative Residuated Chains. Stud Logica 110, 881–922 (2022). https://doi.org/10.1007/s11225-021-09981-y
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DOI: https://doi.org/10.1007/s11225-021-09981-y