Research on Partial Ordered Sets That Can Be Constructed as Effect Algebras-Reference-Cited by-同舟云学术

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Research on Partial Ordered Sets That Can Be Constructed as Effect Algebras

Published:2022-09-26 Issue: Volume:2022 Page:1-15
ISSN:1607-887X
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Zhang Hai-feng¹^ORCID,Zhou Meng¹

Affiliation:

1. School of Mathematics and Systems Science, Beihang University, Xueyuan Road No. 37, Haidian District, Beijing 100191, China

Abstract

In this paper, we study effect algebra-induced partial ordered sets. All possible cases of effect algebras generated by bounded partial ordered set

M_{I}

of height 2 are given. In addition, the structure of chain effect algebra is studied carefully and the corresponding results are obtained.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2022/3414493.pdf

Reference9 articles.

1. Effect algebras and unsharp quantum logics;D. J. Foulis;Foundations of Physics,1994

2. Pseudo-BCK algebras as partial algebras;T. Vetterlein;Information Science,2010

3. Examples, Problems, and results in effect algebras;S. Gudder;International Journal of Theoretical Physics,1996

4. Subalgebras,Intervals,and central elements of generalized effect algebras;Z. Riecanova;International Journal of Theoretical Physics,1999

5. Sequential products on effect algebras;S. Gudder;Reports on Mathematical Physics,2002

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