Lexicographic product vs -perfect and -perfect pseudo effect algebras

被引：0

作者：

Dvurecenskij, Anatolij ^{[1
,2
]}

Kolarik, Miroslav ^{[3
]}

机构：

[1] Slovak Acad Sci, Inst Math, Bratislava 81473, Slovakia

[2] Palacky Univ, Dept Algebra Geom, Olomouc 77146, Czech Republic

[3] Palacky Univ, Dept Comp Sci, Olomouc 77146, Czech Republic

来源：

SOFT COMPUTING | 2014年 / 18卷 / 06期

关键词：

Pseudo effect algebra; po-group; Unital po-group; Strong unit; Riesz decomposition property; Lexicographic product; n-Perfect pseudo effect algebra; Q-perfect pseudo effect algebra;

D O I：

10.1007/s00500-014-1228-6

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We study the Riesz decomposition property types of the lexicographic product of two po-groups. Then we apply them to the study of pseudo effect algebras which can be decomposed into a comparable system of non-void slices indexed by some subgroup of real numbers. Finally, we present their representation by the lexicographic product.

引用

页码：1041 / 1053

页数：13

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