Data di Pubblicazione:
2015
Citazione:
The Chinese Remainder Theorem for Strongly Semisimple MV-Algebras and Lattice-Groups / V. Marra. - In: MATHEMATICA SLOVACA. - ISSN 0139-9918. - 65:4(2015 Aug), pp. 829-840. [10.1515/ms-2015-0058]
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Chinese Remainder Theorem; hull-kernel topology; lattice-ordered Abelian group; MV-algebra; semisimple algebra; spectral space; strong order unit; Zariski topology; Mathematics (all)
Elenco autori:
V. Marra
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