Uniquely covered radical classes of $\ell$-groups
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 3, pp. 473-476
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
It is proved that a radical class $\sigma $ of lattice-ordered groups has exactly one cover if and only if it is an intersection of some $\sigma $-complement radical class and the big atom over $\sigma $.
Classification :
06E08, 06F15
Keywords: radical class; atom; unique covering question; quasi-complement radical class; $\sigma $-homogeneous
Keywords: radical class; atom; unique covering question; quasi-complement radical class; $\sigma $-homogeneous
@article{CMJ_2001__51_3_a2,
author = {Zhang, Y. and Wang, Y.},
title = {Uniquely covered radical classes of $\ell$-groups},
journal = {Czechoslovak Mathematical Journal},
pages = {473--476},
publisher = {mathdoc},
volume = {51},
number = {3},
year = {2001},
mrnumber = {1851541},
zbl = {1079.06506},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_3_a2/}
}
Zhang, Y.; Wang, Y. Uniquely covered radical classes of $\ell$-groups. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 3, pp. 473-476. http://geodesic.mathdoc.fr/item/CMJ_2001__51_3_a2/