Blocks in Pairwise Summable Generalized Effect Algebras

Warning

This publication doesn't include Faculty of Education. It includes Faculty of Science. Official publication website can be found on muni.cz.

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