Residuated L-modules

Michal Botur

doi:10.1016/j.fss.2023.108746

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Residuated L-modules

2024-01-01

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Michal Botur *

DOI：10.1016/j.fss.2023.108746

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Abstract

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We introduce the concept of a residuated module over an arbitrary commutative complete integral residuated lattice as a residuated monoid together with natural module operation and its residuals. In this paper, we present a simple way of constructing such modules and we show that this construction has a very strong potential in their representation (in a certain sense).

Keywords:

Residuated monoid

Module

Residuated module