@article{Riečanová_Janda_2013, title={MAXIMAL SUBSETS OF PAIRWISE SUMMABLE ELEMENTS IN GENERALIZED EFFECT ALGEBRAS}, volume={53}, url={https://ojs.cvut.cz/ojs/index.php/ap/article/view/1865}, DOI={10.14311/AP.2013.53.0457}, abstractNote={We show that in any generalized effect algebra (G;⊕, 0) a maximal pairwise summable subset is a sub-generalized effect algebra of (G;⊕, 0), called a summability block. If G is lattice ordered, then every summability block in G is a generalized MV-effect algebra. Moreover, if every element of G has an infinite isotropic index, then G is covered by its summability blocks, which are generalized MV-effect algebras in the case that G is lattice ordered. We also present the relations between summability blocks and compatibility blocks of G. Counterexamples, to obtain the required contradictions in some cases, are given.}, number={5}, journal={Acta Polytechnica}, author={Riečanová, Zdenka and Janda, Jiří}, year={2013}, month={Oct.}, pages={457–461} }