Uniqueness and Order in Sequential Effect Algebras
Uniqueness and Order in Sequential Effect Algebras
复制标题
DOI：
10.1007/s10773-005-7054-y
复制
发表时间：
2002-11
影响因子：
1.4
通讯作者：
S. Gudder;R. Greechie
中科院分区：
文献类型：
--
作者：
S. Gudder;R. Greechie
序贯效应代数（英语：Sequential Effect Algebra，SEA）是一种定义了序贯乘积的效应代数。我们给出了允许唯一、多且无序列积的效应代数的例子。证明了关于唯一序列积的一些一般定理。我们讨论了顺序排序的SEA，其中顺序完全由顺序积决定。证明了序贯SEA中的区间是序贯积。
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 SEAs 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.