1. Prelattice-generalized pseudo-effect algebras.
- Author
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Yang, Aili and Xie, Yongjian
- Subjects
- *
EFFECT algebras , *ASSOCIATIVE algebras , *ALGEBRA , *LATTICE theory , *MATHEMATICS - Abstract
Using the unitizations of symmetric-generalized pseudo-effect algebras, we investigate the relationships between the maximal compatible sets in a prelattice symmetric-generalized pseudo-effect algebra and the maximal compatible sets in its unitization. We also prove that a symmetric-generalized pseudo-effect algebra is a symmetric-generalized pseudo MV-effect algebra if and only if its unitization is a symmetric pseudo MV-effect algebra. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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