Type-Decomposition of a Pseudo-Effect Algebra
Rings and Algebras
2015-05-19 v1
Abstract
The theory of direct decomposition of a centrally orthocomplete effect algebra into direct summands of various types utilizes the notion of a type-determining (TD) set. A pseudo-effect algebra (PEA) is a (possibly) noncommutative version of an effect algebra. In this article we develop the basic theory of centrally orthocomplete PEAs, generalize the notion of a TD set to PEAs, and show that TD sets induce decompositions of centrally orthocomplete PEAs into direct summands.
Cite
@article{arxiv.1006.2795,
title = {Type-Decomposition of a Pseudo-Effect Algebra},
author = {David Foulis and Sylvia Pulmannová and Elena Vincekova},
journal= {arXiv preprint arXiv:1006.2795},
year = {2015}
}
Comments
18 pages