ZIB

Treffer pro Seite

Treffer 1 - 1 | 1 Treffer

Sortierung

Digitale Medien

Automorphisms and isotone self-maps of ordered sets with top and bottom (1993)

Liu, Wei-Ping ; Wan, Honghui

Springer

Order 10 (1993), S. 105-110

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 1572-9273

Schlagwort(e): 06A07 ; 06A12 ; 05E25 ; 20B25 ; Automorphism ; isotone self-map ; irreducible element

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract For an ordered setP letP P denote the set of all isotone self-maps on P, that is, all mapsf fromP toP such thatx≥y impliesf(x)≥f(y), and let Aut (P) the set of all automorphisms onP, that is, all bijective isotone self-maps inP P . We establish an inequality relating ¦P P ¦ and ¦Aut(P)¦ in terms of the irreducibles ofP. As a straightforward corollary, we show that Rival and Rutkowski's automorphism conjecture is true for lattices. It is also true for ordered sets with top and bottom whose covering graphs are planar.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01111294

Permalink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

Treffer 1 - 1 | 1 Treffer