Minimal varieties of involutive residuated lattices

Studia Logica 83 (1-3):407 - 423 (2006)
Abstract
We establish the existence uncountably many atoms in the subvariety lattice of the variety of involutive residuated lattices. The proof utilizes a construction used in the proof of the corresponding result for residuated lattices and is based on the fact that every residuated lattice with greatest element can be associated in a canonical way with an involutive residuated lattice.
Keywords residuated lattice  involutive residuated lattice  module over a residuated lattice  minimal variety
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