TOTAL EXTENSIONS OF EFFECT ALGEBRAS

被引：17

作者：

GUDDER, S

机构：

[1] Department of Mathematics and Computer Science, University of Denver, Denver, 80208, Colorado

来源：

FOUNDATIONS OF PHYSICS LETTERS | 1995年 / 8卷 / 03期

关键词：

EFFECT ALGEBRAS; QUANTUM STRUCTURES; TOTAL EXTENSIONS;

D O I：

10.1007/BF02187348

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that if the natural order on a total extension (P) over bar of an effect algebra P coincides with the order on P, then (P) over bar is unique. The structure of (P) over bar is called a QI-algebra. It is shown that a QI-algebra is less general than a QMV-algebra, but that a QI-algebra is equivalent to a quasi-linear QMV-algebra. Some examples are given and the properties of these structures are studied.

引用

页码：243 / 252

页数：10

共 11 条

[1] CHANG CC, 1957, T AM MATH SOC, V88, P467
[2] CHANG CC, 1958, T AM MATH SOC, V89, P74
[3] DALLA ML, IN PRESS F PHYS
[4] DVURECENSKIJ A, IN PRESS T AM MATH S
[5] FOULIS D, IN PRESS F PHYS
[6] GIUNTINI R, IN PRESS UNSHARP ORT
[7] GIUNTINI R, IN PRESS QUANTUM MV
[8] Kopka F., 1994, Mathematica Slovaca, V44, P21
[9] Kopka F., 1992, TATRA MOUNTAINS MATH, V1, P83
[10] INTERPRETATION OF AF CSTAR-ALGEBRAS IN LUKASIEWICZ SENTENTIAL CALCULUS
MUNDICI, D
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1986, 65 (01) : 15 - 63

← 1 2 →