| Abstract: | The class of layer-projective lattices is singled out. For example, it contains the lattices of subgroups of finite Abelianp-groups, finite modular lattices of centralizers that are indecomposable into a finite sum, and lattices of subspaces of a
finite-dimensional linear space over a finite field that are invariant with respect to a linear operator with zero eigenvalues.
In the class of layer-projective lattices, the notion of type (of a lattice) is naturally introduced and the isomorphism problem
for lattices of the same type is posed. This problem is positively solved for some special types of layer-projective lattices.
The main method is the layer-wise lifting of the coordinates.
Translated fromMatematicheskie Zametki, Vol. 63, No. 2, pp. 170–182, February, 1998. |
