Author： Dvurečenskij Anatolij
Publisher： Springer Publishing Company
ISSN： 0015-9018
Source： Foundations of Physics, Vol.43, Iss.11, 2013-11, pp. : 1314-1338
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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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