The Distant Graph of the Projective Line Over a Finite Ring with Unity
We discuss the projective line P ( R ) over a finite associative ring with unity. P ( R ) is naturally endowed with the symmetric and anti-reflexive relation “distant”. We study the graph of this relation on P ( R ) and classify up to isomorphism all distant graphs G ( R , Δ ) for rings R up to orde...
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| Veröffentlicht in: | Resultate der Mathematik 2017-12, Vol.72 (4), p.1943-1958 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We discuss the projective line
P
(
R
)
over a finite associative ring with unity.
P
(
R
)
is naturally endowed with the symmetric and anti-reflexive relation “distant”. We study the graph of this relation on
P
(
R
)
and classify up to isomorphism all distant graphs
G
(
R
,
Δ
)
for rings
R
up to order
p
5
,
p
prime. |
|---|---|
| ISSN: | 1422-6383 1420-9012 |
| DOI: | 10.1007/s00025-017-0717-1 |