Geodesic
$R_0$-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.
Classification : 03G25, 06F05
Keywords: $R_0$-algebra; DRL-semigroup; WDRL-semigroup 
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     author = {Lianzhen, Liu and Kaitai, Li},
     title = {$R_0$-algebras and weak dually residuated lattice ordered semigroups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {339--348},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {2006},
     mrnumber = {2291740},
     zbl = {1164.06324},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a4/}
}
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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/