Displaying similar documents to “Positive C...-semigroups on C*-algebras.”

R 0 -algebras and weak dually residuated lattice ordered semigroups

Liu Lianzhen, Li Kaitai (2006)

Czechoslovak Mathematical Journal

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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.