English

States of finite effect algebras

Mathematical Physics 2022-02-22 v1 math.MP

Abstract

In this paper we characterize finite effect algebras which have a state. We construct two matrices AA and BB assigned to a finite effect algebra EE and show that if EE has a state then rankA=A= rankBB.

Keywords

Cite

@article{arxiv.2202.09399,
  title  = {States of finite effect algebras},
  author = {G. Bińczak and J. Kaleta and A. Zembrzuski},
  journal= {arXiv preprint arXiv:2202.09399},
  year   = {2022}
}