Uniquely covered radical classes of -groups
Czechoslovak Mathematical Journal (2001)
- Volume: 51, Issue: 3, page 473-476
- ISSN: 0011-4642
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topZhang, Y., and Wang, Y.. "Uniquely covered radical classes of $\ell $-groups." Czechoslovak Mathematical Journal 51.3 (2001): 473-476. <http://eudml.org/doc/30649>.
@article{Zhang2001,
abstract = {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 $.},
author = {Zhang, Y., Wang, Y.},
journal = {Czechoslovak Mathematical Journal},
keywords = {radical class; atom; unique covering question; quasi-complement radical class; $\sigma $-homogeneous; radical class; atom; unique covering question; quasi-complement radical class; -homogeneous},
language = {eng},
number = {3},
pages = {473-476},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Uniquely covered radical classes of $\ell $-groups},
url = {http://eudml.org/doc/30649},
volume = {51},
year = {2001},
}
TY - JOUR
AU - Zhang, Y.
AU - Wang, Y.
TI - Uniquely covered radical classes of $\ell $-groups
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 3
SP - 473
EP - 476
AB - 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 $.
LA - eng
KW - radical class; atom; unique covering question; quasi-complement radical class; $\sigma $-homogeneous; radical class; atom; unique covering question; quasi-complement radical class; -homogeneous
UR - http://eudml.org/doc/30649
ER -
References
top- Radical mappings and radical classes of lattice ordered groups, Sympos. Math. 21 (1977), 451–477. (1977) MR0491397
- Radical subgroups of lattice ordered groups, Czechoslovak Math. J. 36(111) (1986), 285–297. (1986) MR0831316
- Unique covering on radical classes of -groups, Czechoslovak Math. J. 45(120) (1995), 435–441. (1995) Zbl0841.06016MR1344508
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