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Hahn decomposition in \(d_0\)-algebras

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Abstract

We prove a general decomposition theorem for \(d_0\)-algebras, from which we derive a Hahn decomposition-type theorem for \(d_0\)-measures on these structures. This generalizes the similar result known for modular measures on D-lattices and also gives, as a particular case, a Hahn decomposition-type theorem for measures on cancellative BCK-algebras.

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Authors and Affiliations

  1. Dipartimento di Matematica, Informatica ed Economia, Università della Basilicata, Viale dell’Ateneo Lucano 10, 85100, Potenza, Italy

    Anna Avallone & Paolo Vitolo

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  1. Anna Avallone
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  2. Paolo Vitolo
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Correspondence to Paolo Vitolo.

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Communicated by A. Di Nola.

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Avallone, A., Vitolo, P. Hahn decomposition in \(d_0\)-algebras. Soft Comput 23, 11373–11388 (2019). https://doi.org/10.1007/s00500-019-04049-5

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