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arXiv · 1501.01507

Unitizations of generalized pseudo effect algebras and their ideals

David J. Foulis·Sylvia Pulmannova·Elena Vincekova
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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.

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David J. Foulis, Sylvia Pulmannova, Elena Vincekova. 2015-01-07. Unitizations of generalized pseudo effect algebras and their ideals. https://arxiv.org/abs/1501.01507

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