Minimal varieties of involutive residuated lattices

authored by: C. Tsinakis, A. M. Wille
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.
External Organisation(s): Vanderbilt University
Technische Universität Darmstadt
Type: Article
Journal: Studia logica
Volume: 83
Pages: 407-423
No. of pages: 17
ISSN: 0039-3215
Publication date: 06.2006
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Logic, History and Philosophy of Science
Electronic version(s): https://doi.org/10.1007/s11225-006-8311-7 (Access: Unknown)
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