Archive for Mathematical Logic 42 (8):797-810 (2003)

Abstract
Left-continuous t-norms are much more complicated than the continuous ones, and obtaining a complete classification of them seems to be a very hard task. In this paper we investigate some aspects of left-continuous t-norms, with emphasis on their continuity points. In particular, we are interested in left-continuous t-norms which are isomorphic to t-norms which are continuous in the rationals. We characterize such a class, and we prove that it contains the class of all weakly cancellative left-continuous t-norms
Keywords t-norm  Continuity  Left-continuity  Residuated lattice
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DOI 10.1007/s00153-003-0182-2
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