𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Non-Arguesian configurations and gluings of modular lattices

✍ Scribed by Alan Day; And Bjarni JÓnsson

Publisher
Springer
Year
1989
Tongue
English
Weight
376 KB
Volume
26
Category
Article
ISSN
0002-5240

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Gluings of modular lattices
Gluings of modular lattices
✍ Alan Day; Christian Herrmann 📂 Article 📅 1988 🏛 Springer Netherlands 🌐 English ⚖ 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.

A structural characterization of non-Arg
A structural characterization of non-Arguesian lattices
✍ Alan Day; Bjarni Jónsson 📂 Article 📅 1985 🏛 Springer Netherlands 🌐 English ⚖ 831 KB

This is the fist of a planned series of papers on the structure of non-Arguesian modular lattices. Apart from the (subspace lattices of) non-Arguesian projective planes, the best known examples of such lattices are obtained via the Hal-Dilworth construction by 'badly' gluing together two projective

Non-modular varieties of semimodular lat
Non-modular varieties of semimodular lattices with a spanning M3
✍ R.W Quackenbush 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 892 KB

Cet article pr6sente la construction de nombreux treillis semi-modulaires au moyen du produit tensoriel de demi-treillis. Les treillis obtenus sont de la forme M3 ® B o~ B est un treillis modulaire born6. I1 est montr6 clue lorsque B d6crit une classe 6quatiormeUe K de treillis modulaires alors M a

The Shadow Theory of Modular and Unimodu
The Shadow Theory of Modular and Unimodular Lattices
✍ E.M Rains; N.J.A Sloane 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 452 KB

It is shown that an n-dimensional unimodular lattice has minimal norm at most 2[nÂ24]+2, unless n=23 when the bound must be increased by 1. This result was previously known only for even unimodular lattices. Quebbemann had extended the bound for even unimodular lattices to strongly N-modular even la