Kite Pseudo Effect Algebras

被引：0
作者：
Anatolij Dvurečenskij
机构：
[1] Slovak Academy of Sciences,Mathematical Institute
[2] Palacký University,Depart. Algebra Geom.
来源：
Foundations of Physics | 2013年 / 43卷
关键词：
Pseudo MV-algebra; Pseudo effect algebra ; -group; Po-group; Strong unit; Riesz Decomposition Property; Lexicographic product; Kite pseudo effect algebra; Normal ideal; Perfect pseudo effect algebra;
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中图分类号：
学科分类号：
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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页码：1314 / 1338
页数：24
相关论文
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