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Algebra Comput."],"published-print":{"date-parts":[[2022,6]]},"abstract":"<jats:p> This paper studies nilpotent and Hamiltonian cancellative residuated lattices and their relationship with nilpotent and Hamiltonian lattice-ordered groups. In particular, results about lattice-ordered groups are extended to the domain of residuated lattices. The two key ingredients that underlie the considerations of this paper are the categorical equivalence between Ore residuated lattices and lattice-ordered groups endowed with a suitable modal operator; and Malcev\u2019s description of nilpotent groups of a given nilpotency class c in terms of a semigroup equation. <\/jats:p>","DOI":"10.1142\/s021819672250028x","type":"journal-article","created":{"date-parts":[[2022,3,16]],"date-time":"2022-03-16T10:33:42Z","timestamp":1647426822000},"page":"629-652","source":"Crossref","is-referenced-by-count":0,"title":["Nilpotency and the Hamiltonian property for cancellative residuated lattices"],"prefix":"10.1142","volume":"32","author":[{"given":"Almudena","family":"Colacito","sequence":"first","affiliation":[{"name":"Mathematical Institute, University of Bern, 3012 Bern, Switzerland"},{"name":"Laboratoire J. A. 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