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01-05-2015 | Foundations

Prelattice-generalized pseudo-effect algebras

Authors: Aili Yang, Yongjian Xie

Published in: Soft Computing | Issue 5/2015

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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.

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Title: Prelattice-generalized pseudo-effect algebras
Authors: Aili Yang
Yongjian Xie
Publication date: 01-05-2015
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 5/2015
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-014-1540-1

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