Sharply Dominating MV-Effect Algebras

被引：0

作者：

Martin Kalina

Vladimír Olejček

Jan Paseka

Zdenka Riečanová

机构：

[1] Slovak University of Technology,Department of Mathematics, Faculty of Civil Engineering

[2] Slovak University of Technology,Department of Mathematics, Faculty of Electrical Engineering and Information Technology

[3] Masaryk University,Department of Mathematics and Statistics, Faculty of Science

来源：

International Journal of Theoretical Physics | 2011年 / 50卷

关键词：

Lattice effect algebra; -effect algebra; Sharp element; Sharply dominating effect algebra; Atom; Atomic;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1152 / 1159

页数：7

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