Kite伪效应代数
Kite Pseudo Effect Algebras
摘要：
本文定义了一类新的伪效应代数，称之为kite伪效应代数，它与不一定具有强单位的偏序群相连。在这种情况下，即使从阿贝尔po-群开始，我们也可以得到一个非交换伪效应代数。我们将展示如何将这些风筝伪效应代数与不同类型的Riesz分解性质联系起来。风筝是所谓的完美伪效应代数，我们定义了风筝伪效应代数具有最小非平凡正规理想的条件。
英文摘要：
We define a new class of pseudo effect algebras, called kite pseudo effect algebras, which is connected with partially ordered groups not necessarily with strong unit. In such a case, starting even with an Abelian po-group, we can obtain a noncommutative pseudo effect algebra. We show how such kite pseudo effect algebras are tied with different types of the Riesz Decomposition Properties. Kites are so-called perfect pseudo effect algebras, and we define conditions when kite pseudo effect algebras have the least non-trivial normal ideal.
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