an:00238113
Zbl 0790.06019
Darnel, Michael R.
Varieties minimal over representable varieties of lattice-ordered groups
EN
Commun. Algebra 21, No. 8, 2637-2665 (1993).
00014269
1993
j
06F15 08B99
non-representable covers of representable \(\ell\)-varieties; lattice of \(\ell\)-varieties; weakly Abelian \(\ell\)-variety; \(\ell\)-metabelian \(\ell\)-variety
A new method of constructing non-representable covers of some representable \(\ell\)-varieties in the lattice of \(\ell\)-varieties \(L\) is defined. Using this method, all non-representable covers of any weakly Abelian \(\ell\)-variety and any representable \(\ell\)-metabelian \(\ell\)- variety are described. Some interesting problems on covers in the lattice \(L\) are posed.
N.Ya.Medvedev (Barnaul)