Nilpotency and the Hamiltonian property for cancellative residuated lattices

Autor:	Almudena Colacito, Constantine Tsinakis
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Mathematics::Group Theory General Mathematics High Energy Physics::Lattice Mathematics::Rings and Algebras FOS: Mathematics Mathematics - Logic Logic (math.LO)
Popis:	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’s description of nilpotent groups of a given nilpotency class c in terms of a semigroup equation.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56972061b32987495b410994cf7620c8 http://arxiv.org/abs/2005.06533 Zobrazit plný text záznamu