Geodesic
Congruences and ideals in lattice effect algebras as basic algebras
Kybernetika, Tome 45 (2009) no. 6, pp. 1030-1039

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 are found.
Classification : 03G12, 06C15, 08A55, 81P10
Keywords: basic algebra; effect algebra; ideal; congruence 
@article{KYB_2009__45_6_a10,
     author = {Pulmannov\'a, Silvia and Vincekov\'a, Elena},
     title = {Congruences and ideals in lattice effect algebras as basic algebras},
     journal = {Kybernetika},
     pages = {1030--1039},
     publisher = {mathdoc},
     volume = {45},
     number = {6},
     year = {2009},
     mrnumber = {2650081},
     zbl = {1200.62055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2009__45_6_a10/}
}
TY  - JOUR
AU  - Pulmannová, Silvia
AU  - Vinceková, Elena
TI  - Congruences and ideals in lattice effect algebras as basic algebras
JO  - Kybernetika
PY  - 2009
SP  - 1030
EP  - 1039
VL  - 45
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2009__45_6_a10/
LA  - en
ID  - KYB_2009__45_6_a10
ER  - 
%0 Journal Article
%A Pulmannová, Silvia
%A Vinceková, Elena
%T Congruences and ideals in lattice effect algebras as basic algebras
%J Kybernetika
%D 2009
%P 1030-1039
%V 45
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2009__45_6_a10/
%G en
%F KYB_2009__45_6_a10
Pulmannová, Silvia; Vinceková, Elena. Congruences and ideals in lattice effect algebras as basic algebras. Kybernetika, Tome 45 (2009) no. 6, pp. 1030-1039. http://geodesic.mathdoc.fr/item/KYB_2009__45_6_a10/