Kite $n$-Perfect Pseudo Effect Algebras
Rings and Algebras
2016-02-17 v1
Abstract
Kite pseudo effect algebras were recently introduced as a class of interesting examples of pseudo effect algebras using a po-group, an index set and two bijections on the index set. We represent kite pseudo effect algebras with a special kind of the Riesz decomposition property as an interval in a lexicographic extension of the po-group which solves an open problem on representation of kites. In addition, we introduce kite -perfect pseudo effect algebras and we characterize subdirectly irreducible algebras which are building stones of the theory.
Cite
@article{arxiv.1412.5434,
title = {Kite $n$-Perfect Pseudo Effect Algebras},
author = {Michal Botur and Anatolij Dvurečenskij},
journal= {arXiv preprint arXiv:1412.5434},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1306.0304, arXiv:1403.2289