19 citations · 37 across the 6 of their papers we have counts for
6 papers
Nagata products of bimodules over residuated lattices
Adam Přenosil, Constantine Tsinakis
We study the (restricted) Nagata product construction, which produces a partially ordered semigroup from a bimodule consisting of a partially ordered semigroup acting on a (pointed…
Equivalence of multiset-based consequence relations
Ali Madanshekaf, Adam Přenosil, Zeinab Khanjanzadeh Seresti +1
The pioneering work of Blok and Jónsson and its further development by Galatos and Tsinakis initiated an abstract study of consequence relations using the tools of module theory, w…
Nilpotency and the Hamiltonian property for cancellative residuated lattices
Almudena Colacito, Constantine Tsinakis
The present article studies nilpotent and Hamiltonian cancellative residuated lattices and their relationship with nilpotent and Hamiltonian lattice-ordered groups. In particular,…
Uniform Interpolation and Compact Congruences
S. J. v. Gool, G. Metcalfe, C. Tsinakis
Uniform interpolation properties are defined for equational consequence in a variety of algebras and related to properties of compact congruences on first the free and then the fin…
The Conrad Program: From l-groups to algebras of logic
Michal Botur, Jan Kühr, Lianzhen Liu +1
A number of research articles have established the significant role of lattice-ordered groups (l-groups) in logic. The purpose of the present article is to lay the groundwork for,…
Join-completions of ordered algebras
José Gil-Férez, Luca Spada, Constantine Tsinakis +1
We present a systematic study of join-extensions and join-completions of ordered algebras, which naturally leads to a refined and simplified treatment of fundamental results and co…