The Chinese Remainder Theorem for Strongly Semisimple MV-Algebras and Lattice-Groups
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AbstractAn 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.
2012 ◽
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pp. 1250017
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2011 ◽
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pp. 377-389
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2010 ◽
Vol 17
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pp. 799-802
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2014 ◽
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1983 ◽
Vol 35
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pp. 177-192
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1971 ◽
Vol 12
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pp. 187-192
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