Geodesic
An atomic MV-effect algebra with non-atomic center
Kybernetika, Tome 43 (2007) no. 3, pp. 343-346.

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

Does there exist an atomic lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question (and slightly more) is given: An example of an atomic MV-effect algebra with a non-atomic Boolean subalgebra of sharp or central elements is presented.
Classification : 03G12, 06C15, 06D35, 81P10
Keywords: lattice effect algebra; MV-effect algebra; Archimedean effect algebra; sharp element; central element; atom 
@article{KYB_2007__43_3_a5,
     author = {Olej\v{c}ek, Vladim{\'\i}r},
     title = {An atomic {MV-effect} algebra with non-atomic center},
     journal = {Kybernetika},
     pages = {343--346},
     publisher = {mathdoc},
     volume = {43},
     number = {3},
     year = {2007},
     mrnumber = {2362723},
     zbl = {1149.06006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2007__43_3_a5/}
}
TY  - JOUR
AU  - Olejček, Vladimír
TI  - An atomic MV-effect algebra with non-atomic center
JO  - Kybernetika
PY  - 2007
SP  - 343
EP  - 346
VL  - 43
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KYB_2007__43_3_a5/
LA  - en
ID  - KYB_2007__43_3_a5
ER  - 
%0 Journal Article
%A Olejček, Vladimír
%T An atomic MV-effect algebra with non-atomic center
%J Kybernetika
%D 2007
%P 343-346
%V 43
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KYB_2007__43_3_a5/
%G en
%F KYB_2007__43_3_a5
Olejček, Vladimír. An atomic MV-effect algebra with non-atomic center. Kybernetika, Tome 43 (2007) no. 3, pp. 343-346. http://geodesic.mathdoc.fr/item/KYB_2007__43_3_a5/