Well-connected residuated lattices and residually finite residuated lattices

摘要: 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 di#11;erent methods. Finally, we introduce the residually finite residuated lattices and characterize them from algebraic, logical and topological perspectives,
respectively.