Unitizations of generalized pseudo effect algebras and their ideals
Logic
2015-01-08 v1 Rings and Algebras
Abstract
A generalized pseudo effect algebra (GPEA) is a partially ordered partial algebraic structure with a smallest element 0, but not necessarily with a unit (i.e, a largest element). If a GPEA admits a so-called unitizing automorphism, then it can be embedded as an order ideal in its so-called unitization, which does have a unit. We study unitizations of GPEAs with respect to a unitizing automorphism, paying special attention to the behavior of congruences and ideals in this setting.
Keywords
Cite
@article{arxiv.1501.01507,
title = {Unitizations of generalized pseudo effect algebras and their ideals},
author = {David J. Foulis and Sylvia Pulmannova and Elena Vincekova},
journal= {arXiv preprint arXiv:1501.01507},
year = {2015}
}
Comments
30 pages