"0139-9918" . "Rach\u016Fnek, Ji\u0159\u00ED" . "Mathematica Slovaca" . . . "490387" . "Dvure\u010Denskij, A." . . . "5" . "2"^^ . "On Rie\u010Dan and Bosbach states for bounded non-commutative Rl-monoids" . . . . . "We generalize the notion of a state for bounded Rl-monoids introducing Rie\u010Dan and Bosbach states and weak states. We show that for good bounded Rl-monoids all these three notions coincide, and this fact gives the answer to an open problem posed by Georgescu whether there is a Rie\u010Dan state on a good pseudo BL-algebra which is not a Bosbach state."@en . "1"^^ . . "14"^^ . . "56" . . "15310" . . "RIV/61989592:15310/06:10221927" . "On Rie\u010Dan and Bosbach states for bounded non-commutative Rl-monoids"@en . . . "RIV/61989592:15310/06:10221927!RIV11-MSM-15310___" . "Z(MSM6198959214)" . . . "On Rie\u010Dan and Bosbach states for bounded non-commutative Rl-monoids"@en . . "bounded Rl-monoid, pseudo BL-algebra, state, Rie\u010Dan state, Bosbach state"@en . "[9D9D9E16426C]" . "On Rie\u010Dan and Bosbach states for bounded non-commutative Rl-monoids" . "SK - Slovensk\u00E1 republika" . "We generalize the notion of a state for bounded Rl-monoids introducing Rie\u010Dan and Bosbach states and weak states. We show that for good bounded Rl-monoids all these three notions coincide, and this fact gives the answer to an open problem posed by Georgescu whether there is a Rie\u010Dan state on a good pseudo BL-algebra which is not a Bosbach state." .