Publication details
Blocks in Pairwise Summable Generalized Effect Algebras
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Reports on Mathematical Physics |
| MU Faculty or unit | |
| 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. |
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