About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Zhang, Y. ; Wang, Y.
Uniquely covered radical classes of $\ell$-groups. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 3, pp. 473-476
MSC: 06E08, 06F15 | MR 1851541 | Zbl 1079.06506
Keywords:
radical class; atom; unique covering question; quasi-complement radical class; $\sigma $-homogeneous
Summary:
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 $.
References:
[1] J.  Jakubík: Radical mappings and radical classes of lattice ordered groups. Sympos. Math. 21 (1977), 451–477. MR 0491397
[2] J.  Jakubík: Radical subgroups of lattice ordered groups. Czechoslovak Math.  J. 36(111) (1986), 285–297. MR 0831316
[3] Y.  Zhang: Unique covering on radical classes of $\ell $-groups. Czechoslovak Math. J. 45(120) (1995), 435–441. MR 1344508 | Zbl 0841.06016
Partner of
EuDML logo