CONGRUENCES AND IDEALS IN LATTICE EFFECT ALGEBRAS AS BASIC ALGEBRAS

被引：0

作者：

Pulmannova, Sylvia ^{[1
]}

Vincekova, Elena ^{[1
]}

机构：

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

来源：

KYBERNETIKA | 2009年 / 45卷 / 06期

关键词：

basic algebra; effect algebra; ideal; congruence;

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Effect basic algebras (which correspond to lattice ordered effect algebras) are studied. Their ideals are characterized (in the language of basic algebras) and one-to-one correspondence between ideals and congruences is shown. Conditions under which the quotients are OMLs or MV-algebras axe found.

引用

页码：1030 / 1039

页数：10

共 10 条

[1] Congruences and ideals of effect algebras [J].

Avallone, A ;

Vitolo, P .

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2003, 20 (01) :67-77

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

Chajda, Ivan ;

Halas, Radomir ;

Kuehr, Jan .

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

[3]

Chang C.C., 1958, T AM MATH SOC, V88, P467

[4]

Chovanec F., 1997, TATRA MT MATH PUBL, V10, P1

[5]

Dvurecenskij A., 2000, NEW TRENDS QUANTUM S

[6] EFFECT ALGEBRAS AND UNSHARP QUANTUM-LOGICS [J].

FOULIS, DJ ;

BENNETT, MK .

FOUNDATIONS OF PHYSICS, 1994, 24 (10) :1331-1352

[7]

GIUNTINI R, 1996, STUD LOG, V56, P303

[8] TOTAL EXTENSIONS OF EFFECT ALGEBRAS [J].

GUDDER, S .

FOUNDATIONS OF PHYSICS LETTERS, 1995, 8 (03) :243-252

[9] Ideals and quotients in lattice ordered effect algebras [J].

G. Jenča ;

S. Pulmannová .

Soft Computing, 2001, 5 (5) :376-380

[10]

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

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