Effect test spaces and effect algebras

被引:0
作者
Stanley Gudder
机构
[1] University of Denver,Department of Mathematics and Computer Science
来源
Foundations of Physics | 1997年 / 27卷
关键词
Tensor Product; Test Group; Effect Algebra; Positive Weight; Group Homomorphism;
D O I
暂无
中图分类号
学科分类号
摘要
The concept of an effect test space, which is equivalent to a D-test space of Dvurečenskij and Pulmannová, is introduced. Connections between effect test space. (E-test space, for short) morphisms, and event-morphisms as well as between algebraic E-test spaces and effect algebras, are studied. Bimorphisms and E-test space tensor products are considered. It is shown that any E-test space admits a unique (up to an isomorphism) universal group and that this group, considered as a test group, determines the E-test space uniquely (up to an isomorphism).
引用
收藏
页码:287 / 304
页数:17
相关论文
共 20 条
[1]  
Dvurečenskij A.(1995)Tensor products of difference posets Trans. Am. Math. Soc. 347 1043-1057
[2]  
Dvurečenskij A.(1994)Difference, posets, effects and quantum measurements Int. J. Theor. Phys. 33 819-850
[3]  
Pulmannová S.(1994)-test spaces and difference posets Rep. Math. Phys. 34 151-170
[4]  
Dvurečenskij A.(1994)Effect algebras and unsharp quantum logics Found. Phys. 24 1331-1352
[5]  
Pulmannová S.(1972)Operational statistics I: Basic concepts J. Math. Phys. 13 1667-1675
[6]  
Foulis D.(1989)Toward a formal, language for unsharp properties Found Phys. 19 931-945
[7]  
Bennett M. K.(1995)The transition to effect algebras Int. J. Theor. Phys. 34 1-14
[8]  
Foulis D.(1992)-posets and fuzzy sets Tatra Mountain Math. Publ. 1 83-87
[9]  
Randall C.(1994)-posets Math. Slovaca 44 21-34
[10]  
Giuntini R.(1995)Representations of Int. J. Theor. Phys. 34 1689-1696