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Corrigendum: Gluings of Modular Lattices

✍ Scribed by Christian Herrmann

Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
223 KB
Volume
23
Category
Article
ISSN
0167-8094

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πŸ“œ SIMILAR VOLUMES

Gluings of modular lattices
Gluings of modular lattices
✍ Alan Day; Christian Herrmann πŸ“‚ Article πŸ“… 1988 πŸ› Springer Netherlands 🌐 English βš– 1014 KB

The notions of gluing, tolerance relations, and Mal'cev products of varieties have been used by various authors to investigate varieties of lattices. In this paper the authors introduce a general framework for all these concepts and apply it to varieties of modular and Arguesian lattices.

Left-Modular Elements of Lattices
Left-Modular Elements of Lattices
✍ Shu-Chung Liu; Bruce E. Sagan πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 168 KB

Left-modularity is a concept that generalizes the notion of modularity in lattice theory. In this paper, we give a characterization of left-modular elements and derive two formulae for the characteristic polynomial, /, of a lattice with such an element, one of which generalizes Stanley's theorem [6]

Nonexistence of Extremal Lattices in Cer
Nonexistence of Extremal Lattices in Certain Genera of Modular Lattices
✍ Gabriele Nebe; Boris B. Venkov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 353 KB

In this note we consider integral lattices 4 in euclidean space (R n , ,), i.e. 4 R n is the Z-span of an R-basis of R n with ,(4, 4) Z. The minimum of 4 is min[,(4, 4) | 0{\* # 4]. It is interesting to find lattices of given determinant or of given genus with large minimum. We prove the following