Modal expansions of ririgs

Autor: Nagy, Agustín L., Botero, William J. Zuluaga
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper we introduce the variety of I-modal ririgs. We characterize the congruence lattice of its members by means of I-filters and we provide a description on I-filter generation. We also provide an axiomatic presentation for the variety generated by chains of the subvariety of contractive I-modal ririgs. Finally, we introduce a Hilbert-style calculus of a logic with I-modal ririgs as an equivalent algebraic semantics and we prove that such a logic has the parametrized local deduction-detachment theorem.
Databáze: arXiv