Moraschini, TommasoRaftery, James G.Wannenburg, Johann Joubert2018-10-122019-07Moraschini, T., Raftery, J.G. & Wannenburg, J.J. 2019, 'Varieties of De Morgan monoids : minimality and irreducible algebras', Journal of Pure and Applied Algebra, vol. 223, no. 7, pp. 2780-2803.0022-4049 (print)1873-1376 (online)10.1016/j.jpaa.2018.09.015http://hdl.handle.net/2263/66866The first author acknowledges project CZ.02.2.69/0.0/0.0/17_050/0008361, OPVVV MŠMT, MSCA-IF Lidské zdroje v teoretické informatice, and project GJ15-07724Y of the Czech Science Foundation.Please read abstract in the article.en© 2018 Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Pure and Applied Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Journal of Pure and Applied Algebra, vol. 223, no. 7, pp. 2780-2803, 2019. doi : 10.1016/j.jpaa.2018.09.015.De Morgan monoidSugihara monoidResiduated latticeRelevance logicPostprint Article