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This article is cited in 3 scientific papers (total in 3 papers)
Layer-projective lattices. I
V. A. Antonov, Yu. A. Nazyrova Chelyabinsk State Technical University
Abstract:
The class of layer-projective lattices is singled out. For example, it contains the lattices of subgroups of finite Abelian $p$-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.
Received: 19.12.1995
Citation:
V. A. Antonov, Yu. A. Nazyrova, “Layer-projective lattices. I”, Mat. Zametki, 63:2 (1998), 170–182; Math. Notes, 63:2 (1998), 150–160
Linking options:
https://www.mathnet.ru/eng/mzm1264https://doi.org/10.4213/mzm1264 https://www.mathnet.ru/eng/mzm/v63/i2/p170
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Abstract page: | 266 | Full-text PDF : | 158 | References: | 49 | First page: | 1 |
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