The paper characterizes lattices that admit left-continuous pseudo-t-norms: complete atomistic ones must be Boolean, and a class of finite planar modular ones are exactly the 1-distributive ones.
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Left-continuous pseudo-t-norms on modular lattices
The paper characterizes lattices that admit left-continuous pseudo-t-norms: complete atomistic ones must be Boolean, and a class of finite planar modular ones are exactly the 1-distributive ones.