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Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups
(De Gruyter, 2012-03)
A unital ℓ-group (G; u) is an abelian group G equipped with a translationinvariant lattice-order and a distinguished element u, called order-unit, whose positive integer multiples eventually dominate each element of G. It ...
A characterization of finite multipermutation solutions of the Yang-Baxter equation
(Universitat Autònoma de Barcelona, 2018-07)
We prove that a finite non-degenerate involutive set-theoretic solution (X, r) of the Yang{Baxter equation is a multipermutation solution if and only if its structure group G(X, r) admits a left ordering or equivalently ...
Invariants for metabelian groups of prime power exponent, colorings, and stairs
(Canadian Mathematical Soc, 2021-12)
We study the free metabelian group M(2,n) of prime power exponent n on two generators by means of invariants M(2,n)′→Zn that we construct from colorings of the squares in the integer grid R×Z∪Z×R . In particular, we improve ...
A remarkable family of left-ordered groups: central extensions of hecke groupsJOURNAL OF ALGEBRAJ ALGEBRA
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
Valoraciones y relaciones de dominaci´on en grupos abelianos sin torsiónValoraciones y relaciones de dominación en grupos abelianos sin torsión
(Pontificia Universidad Católica del Perú, 2016)
A temperature-induced order-disorder phase transition in a 4-substituted 4,2′:6′,4′′-terpyridine
(International Union of Crystallography, 2015-11)
Crystals of 4′-(isoquinolin-4-yl)-4,2′:6′,4′′-terpyridine (iqtp), C24H16N4, grown from an ethanol solution, undergo a reversible first-order single-crystal to single-crystal phase transition at T c in the range 273-275K, ...