Well-connected residuated lattices and residually finite residuated lattices

Subjects: Mathematics >> Mathematics （General） Subjects: Mathematics >> Logic submitted time 2023-06-20

Yang Jiang Wang Juntao Xia Changchun

Abstract： The aim of this paper is to study well-connected residuated lattices and residually finite residuated lattices. So far, well-connected residuated lattices not only a main tool for studying RLsi but also a subdirect irreducible representation object
of residuated lattices. In this paper we both investigate the above two aspects by using some different methods. Finally, we introduce the residually finite residuated lattices and characterize them from algebraic, logical and topological perspectives,
respectively.

Peer Review Status:Awaiting Review

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