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$R_0$-algebras and weak dually residuated lattice ordered semigroups
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 339-348
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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.
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.
Classification : 03G25, 06F05
Keywords: $R_0$-algebra; DRL-semigroup; WDRL-semigroup 
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     title = {$R_0$-algebras and weak dually residuated lattice ordered semigroups},
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}
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Lianzhen, Liu; Kaitai, Li. $R_0$-algebras and weak dually residuated lattice ordered semigroups. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 339-348. http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a4/

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