Every effect algebra can be made into a total algebra

被引：22

作者：

Chajda, I. ^{[1
]}

Halas, R. ^{[1
]}

Kuhr, J. ^{[1
]}

机构：

[1] Palacky Univ, Fac Sci, Dept Algebra & Geometry, CZ-77146 Olomouc, Czech Republic

来源：

ALGEBRA UNIVERSALIS | 2009年 / 61卷 / 02期

关键词：

Effect algebra; commutative directoid; weak basic algebra;

D O I：

10.1007/s00012-009-0010-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

circle We prove that every effect algebra (E, +, 0, 1) can easily be made into a total algebra (E, circle plus, inverted left perpendicular, 0) of type (2, 1, 0) in such a way that two elements are compatible in (E, +, 0, 1) if and only if they commute in (E, circle plus, inverted left perpendicular, 0).

引用

页码：139 / 150

页数：12

共 8 条

[1]

Chajda I., 2007, Semilattice Structures

[2] Many-valued quantum algebras [J].

Chajda, Ivan ;

Halas, Radomir ;

Kuehr, Jan .

ALGEBRA UNIVERSALIS, 2009, 60 (01) :63-90

[3]

Dvurecenskij A., 2000, NEW TRENDS QUANTUM S

[4]

Foulis D.J., 1994, F PHYSICS, V24, P1325

[5] Weak MV-algebras [J].

Halas, Radomir ;

Plojhar, Lubos .

MATHEMATICA SLOVACA, 2008, 58 (03) :253-262

[6] DIRECTOIDS - ALGEBRAIC MODELS OF UP-DIRECTED SETS [J].

JEZEK, J ;

QUACKENBUSH, R .

ALGEBRA UNIVERSALIS, 1990, 27 (01) :49-69

[7]

Kopka F., 1994, Mathematica Slovaca, V44, P21

[8]

Snasel V., 1997, MATH BOHEM, V122, P267

← 1 →