Module Structure on Effect Algebras

Simin Saidi Goraghani; Rajab Ali Borzooei

doi:10.18778/0138-0680.2020.17

Authors

Simin Saidi Goraghani Farhangian University Department of Mathematics Tehran, Iran https://orcid.org/0000-0002-3271-4812
Rajab Ali Borzooei Shahid Beheshti University Department of Mathematics Tehran, Iran https://orcid.org/0000-0001-7538-7885

DOI:

https://doi.org/10.18778/0138-0680.2020.17

Keywords:

effect algebra, product effect algebra, effect module, topology

Abstract

In this paper, by considering the notions of effect algebra and product effect algebra, we define the concept of effect module. Then we investigate some properties of effect modules, and we present some examples on them. Finally, we introduce some topologies on effect modules.

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