Some remarks on divisible polyhedral MV-algebras

Year, pages: 2020, 51 - 60

Building on similar notions for MV-algebras, polyhedral DMV-algebras are defined and investigated. For such algebras dualities with suitable categories of polyhedra are established, and the relation with finitely presented Riesz MV-algebras is investigated. Via hull-functors, finite products are interpreted in terms of hom-functors, and categories of polyhedral MV-algebras, polyhedral DMV-algebras and finitely presented Riesz MV-algebras are linked together. Moreover, the amalgamation property is proved for finitely presented DMV-algebras and Riesz MV-algebras, and for polyhedral DMV-algebras.

Lapenta, S. 2020. Some remarks on divisible polyhedral MV-algebras. In Mathematica Slovaca, vol. 70, no.1, pp. 51-60. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0330

Lapenta, S. (2020). Some remarks on divisible polyhedral MV-algebras. Mathematica Slovaca, 70(1), 51-60. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0330

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava