Kybernetika 46 no. 6, 948-952, 2010

Uniformly Archimedean atomic MV-effect algebra is sharply dominating

Vladimí r Olejček

Abstract:

Following the study of sharp domination in effect algebras, in particular, in atomic Archimedean MV-effect algebras it is proved that if an atomic MV-effect algebra is {\it uniformly Archimedean} then it is sharply dominating.

Keywords:

MV-algebra, lattice effect algebra, sharp element, atom, sharp domination, Euclidean algorithm

Classification:

03G12, 06D35, 06F25, 81P10