"RIV/61989592:15310/13:33145974" . "We give sufficient and necessary conditions to guarantee that a pseudo-effect algebra admits an (n + 1)-valued discrete state. We introduce n-perfect pseudo-effect algebras as algebras which can be split into n + 1 comparable slices. We prove that the category of strong n-perfect pseudo-effect algebras is categorically equivalent to the category of torsion-free directed partially ordered groups of a special type." . "9" . "Dvure\u010Denskij, Anatolij" . . . "3"^^ . "000323063400001" . . "Xie, Yongjian" . "1"^^ . . "1432-7643" . "DE - Spolkov\u00E1 republika N\u011Bmecko" . "Pseudo-effect algebra, Po-group Symmetric pseudo-effect algebra, (n + 1)-valued discrete state, n-perfect pseudo-effect algebra, Lexicographic product, Categorical equivalence"@en . "We give sufficient and necessary conditions to guarantee that a pseudo-effect algebra admits an (n + 1)-valued discrete state. We introduce n-perfect pseudo-effect algebras as algebras which can be split into n + 1 comparable slices. We prove that the category of strong n-perfect pseudo-effect algebras is categorically equivalent to the category of torsion-free directed partially ordered groups of a special type."@en . "17" . . . . . "Discrete (n+1)-valued states and n-perfect pseudo-effect algebras"@en . "[BF671506FC5D]" . "16"^^ . . "69844" . "Soft Computing: a fusion of foundations, methodologies and applications" . . . . . "Discrete (n+1)-valued states and n-perfect pseudo-effect algebras"@en . "Yang, Aili" . "Discrete (n+1)-valued states and n-perfect pseudo-effect algebras" . "Discrete (n+1)-valued states and n-perfect pseudo-effect algebras" . . . . . "10.1007/s00500-013-1001-2" . . "O" . "15310" . "RIV/61989592:15310/13:33145974!RIV14-MSM-15310___" .