"Janda, Ji\u0159\u00ED" . "I, P(EE2.3.20.0051), S, Z(MSM0021622409)" . "14310" . . . . . . "3"^^ . "000337198100005" . . "1"^^ . . "Rie\u010Danov\u00E1, Zdenka" . . "11"^^ . . "Blocks in Pairwise Summable Generalized Effect Algebras" . . . "We study so called pairwise summable generalized effect algebras and show some conditions under which they are generalized MV-effect algebras. Moreover, we give a necessary and sufficient condition for finite antichains of elements in pairwise summable generalized effect algebras under which they are sets of atoms of sub-generalized effect algebras, which are generalized MV-effect algebras in their own right. Simultaneously, we give counterexamples which show properties of those antichains which are not necessary or sufficient to be atoms of such generalized MV-effect algebras." . "2" . "[68EB76A0BDE0]" . "RIV/00216224:14310/14:00076106!RIV15-MSM-14310___" . "RIV/00216224:14310/14:00076106" . . "73" . "Blocks in Pairwise Summable Generalized Effect Algebras"@en . "We study so called pairwise summable generalized effect algebras and show some conditions under which they are generalized MV-effect algebras. Moreover, we give a necessary and sufficient condition for finite antichains of elements in pairwise summable generalized effect algebras under which they are sets of atoms of sub-generalized effect algebras, which are generalized MV-effect algebras in their own right. Simultaneously, we give counterexamples which show properties of those antichains which are not necessary or sufficient to be atoms of such generalized MV-effect algebras."@en . . . . . . . "0034-4877" . . "Wu, Junde" . "Blocks in Pairwise Summable Generalized Effect Algebras" . "(generalized) effect algebra; MV-effect algebra; summability block; compatibility block; linear operators in Hilbert spaces"@en . . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "Blocks in Pairwise Summable Generalized Effect Algebras"@en . "5572" . . "Reports on Mathematical Physics" .