"The generalized effect algebra was presented as a generalization of effect algebra for an algebraic description of the structure of the set of all positive linear operators densely defined on Hilbert space with the usual sum of operators. A structure of the set of not only positive linear operators can be described with the notion of weakly ordered partial commutative group (wop-group). With a restriction of the usual sum, the important subset of all self-adjoint operators forms a substructure of the set of all linear operators. We investigate the properties of intervals in wop-groups of linear operators and showing that they can be organised into effect algebras with nonempty set of states."@en . "142712" . "14310" . . "Janda, Ji\u0159\u00ED" . "9"^^ . . "Quantitative Logic and Soft Computing: Proceedings of the QL&SC 2012, Xian, China 12-15 May 2012" . "RIV/00216224:14310/12:00067542!RIV14-MSM-14310___" . "9814401528" . . "RIV/00216224:14310/12:00067542" . "P(EE2.3.20.0051), S, Z(MSM0021622409)" . . . "Xian, China" . "[5EAC68427B25]" . . . . . "Intervals on weakly ordered partial commutative groups of linear operators" . . "2012-05-12+02:00"^^ . . . "Intervals on weakly ordered partial commutative groups of linear operators" . . "Intervals on weakly ordered partial commutative groups of linear operators"@en . . . . . "World Scientific Publishing Company, 2012" . "Intervals on weakly ordered partial commutative groups of linear operators"@en . "1"^^ . . "(generalized) effect algebra; weakly ordered partial group; Hilbert space; unbounded linear operator; states; interval effect algebra"@en . . . . . "Shaanxi Normal University, China" . "The generalized effect algebra was presented as a generalization of effect algebra for an algebraic description of the structure of the set of all positive linear operators densely defined on Hilbert space with the usual sum of operators. A structure of the set of not only positive linear operators can be described with the notion of weakly ordered partial commutative group (wop-group). With a restriction of the usual sum, the important subset of all self-adjoint operators forms a substructure of the set of all linear operators. We investigate the properties of intervals in wop-groups of linear operators and showing that they can be organised into effect algebras with nonempty set of states." . "1"^^ . .