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arXiv · 1306.0304

Kite Pseudo Effect Algebras

Anatolij Dvurečenskij
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Abstract

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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Anatolij Dvurečenskij. 2013-06-03. Kite Pseudo Effect Algebras. https://doi.org/10.1007/s10701-013-9748-y

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