Pseudo-Effect Algebras as Total Algebras |
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Authors: | Ivan Chajda and Jan Kühr |
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Affiliation: | 1.Department of Algebra and Geometry, Faculty of Science,Palacky University,Olomouc,Czech Republic |
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Abstract: | It is shown that every pseudo-effect algebra can be organized as a total algebra. In general, this total algebra is not unique, but it always determines the original partial addition. Special attention is paid to lattice-ordered pseudo-effect algebras for which the total operations can be defined in a unique natural way and this allows one to characterize pairs of compatible elements. |
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