Sharply Dominating MV-Effect Algebras |
| |
| Authors: | Martin Kalina Vladimír Olej?ek Jan Paseka and Zdenka Rie?anová |
| |
| Institution: | (1) Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Kotl?řsk? 2, 611 37 Brno, Czech Republic;(2) Department of Mathematics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, Ilkovičova 3, 812 19 Bratislava, Slovak Republic |
| |
| Abstract: | Some open questions on Archimedean atomic MV-effect algebras are answered. Namely we prove that there are Archimedean atomic MV-effect algebras which are not sharply dominating. Equivalently, they don’t have a basic decomposition of elements. Moreover,
if their set of sharp elements (their center) is a complete lattice then they need not be complete lattices. The existence
of infinite orthogonal sums of their elements is discussed. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
