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arXiv · 2208.04533

Modal expansions of ririgs

Agustín L. Nagy·William J. Zuluaga Botero
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Abstract

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.

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Agustín L. Nagy, William J. Zuluaga Botero. 2022-08-09. Modal expansions of ririgs. https://arxiv.org/abs/2208.04533

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