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COMPACTNESS, THE LÖWENHEIM‐SKOLEM PROPERTY AND THE DIRECT PRODUCT OF LATTICES OF TRUTH VALUES
Author(s) -
Ying Mingsheng,
Ying Mingsheng
Publication year - 1992
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19920380147
Subject(s) - compact space , property (philosophy) , product (mathematics) , mathematics , direct product , pure mathematics , geometry , philosophy , epistemology
We show that compactness is preserved by arbitrary direct products of lattices of truth values and that the Löwenheim‐Skolem property is preserved by finite direct products of lattices of truth values.