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On a class of partially ordered sets and their linear invariants

โœ Scribed by Johannes Siemons

Publisher
Springer
Year
1992
Tongue
English
Weight
497 KB
Volume
41
Category
Article
ISSN
0046-5755

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โœฆ Synopsis

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 relations of the type Sk(S r) --Ck(S k_ OrSk _ 1 = ( d+ --ckd[ )Id for all k and certain coefficients dk + , d k-and Ck.

๐Ÿ“œ SIMILAR VOLUMES

A class of partially ordered sets: II
A class of partially ordered sets: II
โœ Geoffrey Hemion ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 883 KB

In a previous paper, a certain class of discrete partially ordered sets was defined and a number of general properties of the sets was described. It was claimed that a kind of pre-geometry might be established on the basis of these definitions. To support this idea, it was asserted that a probabilit