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The Chinese Remainder Theorem for strongly semisimple MV-algebras and lattice-groups

In: Mathematica Slovaca, vol. 65, no. 4
Vincenzo Marra
Detaily:
Rok, strany: 2015, 829 - 840
Kľúčové slová:
lattice-ordered Abelian group, MV-algebra, strong order unit, semisimple algebra, spectral space, Zariski topology, hull-kernel topology, Chinese Remainder Theorem
O článku:
An MV-algebra (equivalently, a lattice-ordered Abelian group with a distinguished order unit) is strongly semisimple if all of its quotients modulo finitely generated congruences are semisimple. All MV-algebras satisfy a Chinese Remainder Theorem, as was first shown by Keimel four decades ago in the context of lattice-groups. In this note we prove that the Chinese Remainder Theorem admits a considerable strengthening for strongly semisimple structures.
Ako citovať:
ISO 690:
Marra, V. 2015. The Chinese Remainder Theorem for strongly semisimple MV-algebras and lattice-groups. In Mathematica Slovaca, vol. 65, no.4, pp. 829-840. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0058

APA:
Marra, V. (2015). The Chinese Remainder Theorem for strongly semisimple MV-algebras and lattice-groups. Mathematica Slovaca, 65(4), 829-840. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0058
O vydaní:
Publikované: 1. 8. 2015