中文

Uniqueness and order in sequential effect algebras

环与代数 2022-09-01 v1 量子代数

摘要

A sequential effect algebra (SEA) is an effect algebra on which a sequential product is defined. We present examples of effect algebras that admit a unique, many and no sequential product. Some general theorems concerning unique sequential products are proved. We discuss sequentially ordered SEA's in which the order is completely determined by the sequential product. It is demonstrated that intervals in a sequential ordered SEA admit a sequential product.

引用

@article{arxiv.math/0211033,
  title  = {Uniqueness and order in sequential effect algebras},
  author = {S. Gudder and R. Greechie},
  journal= {arXiv preprint arXiv:math/0211033},
  year   = {2022}
}