TY - JOUR AU - Riečanová, Zdenka AU - Zajac, Michal PY - 2013/01/03 Y2 - 2024/03/29 TI - Intervals in Generalized Effect Algebras and their Sub-generalized Effect Algebras JF - Acta Polytechnica JA - Acta Polytech VL - 53 IS - 3 SE - Articles DO - 10.14311/1817 UR - https://ojs.cvut.cz/ojs/index.php/ap/article/view/1817 SP - AB - We consider subsets <em>G</em> of a generalized effect algebra <em>E</em> with 0∈<em>G</em> and such that every interval [0, <em>q</em>]<sub><em>G</em></sub> = [0, <em>q</em>]<sub><em>E </em></sub>∩ <em>G</em> of <em>G</em> (<em>q</em> ∈<em> G</em> , <em>q</em> ≠ 0) is a sub-effect algebra of the effect algebra [0, <em>q</em>]<sub>E</sub>. We give a condition on <em>E</em> and <em>G</em> under which every such G is a sub-generalized effect algebra of <em>E</em>. ER -