Kite Pseudo Effect Algebras
Mathematical Physics
2015-06-16 v1 math.MP
Rings and Algebras
Abstract
We define a new class of pseudo effect algebras, called kite pseudo effect algebras, which is connected with partially ordered groups not necessarily with strong unit. In such a case, starting even with an Abelian po-group, we can obtain a noncommutative pseudo effect algebra. We show how such kite pseudo effect algebras are tied with different types of the Riesz Decomposition Properties. Kites are so-called perfect pseudo effect algebras, and we define conditions when kite pseudo effect algebras have the least non-trivial normal ideal.
Cite
@article{arxiv.1306.0304,
title = {Kite Pseudo Effect Algebras},
author = {Anatolij Dvurečenskij},
journal= {arXiv preprint arXiv:1306.0304},
year = {2015}
}