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The subvariety lattice for representable idempotent commutative residuated lattices

Authors
  • Olson, Jeffrey S.1
  • 1 Norwich University, Department of Mathematics, 158 Harmon Dr., Northfield, VT, 05663, USA , Northfield (United States)
Type
Published Article
Journal
Algebra universalis
Publisher
SP Birkhäuser Verlag Basel
Publication Date
Jan 14, 2012
Volume
67
Issue
1
Pages
43–58
Identifiers
DOI: 10.1007/s00012-012-0167-2
Source
Springer Nature
Keywords
License
Yellow

Abstract

RICRL denotes the variety of commutative residuated lattices which have an idempotent monoid operation and are representable in the sense that they are subdirect products of linearly ordered algebras. It is shown that the subvariety lattice of RICRL is countable, despite its complexity and in contrast to several varieties of closely related algebras.

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