Every effect algebra can be made into a total algebra

被引：0
|
作者：
I. Chajda
R. Halaš
J. Kühr
机构：
[1] Palacký University,Department of Algebra and Geometry, Faculty of Science
来源：
Algebra universalis | 2009年 / 61卷
关键词：
03G10; 03G12; 03G25; Effect algebra; commutative directoid; weak basic algebra;
D O I：
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摘要：
We prove that every effect algebra (E,+, 0, 1) can easily be made into a total algebra (E,⊕, ¬, 0) of type (2, 1, 0) in such a way that two elements are compatible in (E,+, 0, 1) if and only if they commute in (E,⊕, ¬, 0).
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