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Projective spaces on partially ordered sets and Desargues' postulate

โœ Scribed by Stefan E. Schmidt

Publisher
Springer
Year
1991
Tongue
English
Weight
463 KB
Volume
37
Category
Article
ISSN
0046-5755

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โœฆ Synopsis

We introduce a generalized concept of projective and Desarguean space where points (and lines) may be of different size. Every unitary module yields an example when we take the 1and 2-generated submodules as points and lines. In this paper we develop a method of constructing a wide range of projective and Desarguean spaces by means of lattices.

๐Ÿ“œ SIMILAR VOLUMES

On a class of partially ordered sets and
On a class of partially ordered sets and their linear invariants
โœ Johannes Siemons ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 497 KB

Let (Z~a, <) be a finite partially ordered set with rank function. Then ff is the disjoint union of the classes ~k of elements of rank k and the order relation between elements in ~k and ~ak+ 1 can be represented by a matrix S k. We study partially ordered sets which satisfy linear recurrence relati