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Filters of $R_{0}$ -algebras.

Jun, Young Bae; Lianzhen, Liu — 2006

International Journal of Mathematics and Mathematical Sciences

$R_{0}$ -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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Filters of R 0 -algebras.

R 0 -algebras and weak dually residuated lattice ordered semigroups

Filters of $R_{0}$ -algebras.

$R_{0}$ -algebras and weak dually residuated lattice ordered semigroups