Blocks in Pairwise Summable Generalized Effect Algebras

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Authors	RIEČANOVÁ Zdenka JANDA Jiří WU Junde
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Reports on Mathematical Physics
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	(generalized) effect algebra; MV-effect algebra; summability block; compatibility block; linear operators in Hilbert spaces
Description	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.
Related projects:	Mathematical structures and their physical applications