Constructions and classifications on involutive residuated semigroups

Abstract

Classification results of residuated lattices are presented in this paper along with some construction methods. Recent results are the classification of some classes of finite, involutive FLe-algebras, of strongly involutive uninorm algebras, and of absorbent-continuous, sharp FLe-algebras on weakly real chains. A new ordinal sum construction in introduced which constructs sharp, involutive FLe-algebras.