R 0-algebras and weak dually residuated lattice ordered semigroups
Liu Lianzhen, Kaitai Li · Czechoslovak Mathematical Journal · 2006
We introduce the notion of weak dually residuated lattice ordered semi-groups (WDRL-semigroups) and investigate the relation between R 0-algebras and WDRL-semigroups. We prove that the category of R 0-algebras is equivalent to the category of some bounded WDRL-semigroups. Moreover, the connection between WDRL-semigroups and DRL-semigroups is studied.