Congruences and ideals in generalized pseudoeffect algebras revisited

@article{Pulmannov2019CongruencesAI,
  title={Congruences and ideals in generalized pseudoeffect algebras revisited},
  author={Sylvia Pulmannov{\'a}},
  journal={Soft Computing},
  year={2019},
  volume={23},
  pages={735-745}
}
The first part of the present paper is an enhancement of the paper (Foulis et al. in Order 33:311–332, 2016). A new type of congruences on generalized pseudoeffect algebras (GPEAs), called R1-congruences, is introduced, which is in one-to-one correspondence with normal R1-ideals. The notion of Riesz congruences is reconsidered, and they are defined as congruences which are in one-to-one correspondence with normal Riesz ideals. In upward directed GPEAs, in particular in pseudoeffect algebras… CONTINUE READING

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