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R 0 -algebras and weak dually residuated lattice ordered semigroups

Liu Lianzhen;  Li Kaitai — 2006

Czechoslovak Mathematical Journal

We introduce the notion of weak dually residuated lattice ordered semigroups (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.

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