On the generalization of Cayley graphs of commutative rings
Let R be a commutative ring with unity and R + , U and U ∗ be the additive group, multiplicative prime subset of R and U \ { 0 } , respectly. We denote by Cay ( R ) the cayle graph Cay ( R + , U ∗ ) . In this paper, we investigate the structure of Cay ( R ) .
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| Veröffentlicht in: | Beiträge zur Algebra und Geometrie 2017-06, Vol.58 (2), p.395-404 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let
R
be a commutative ring with unity and
R
+
,
U
and
U
∗
be the additive group, multiplicative prime subset of
R
and
U
\
{
0
}
, respectly. We denote by
Cay
(
R
)
the cayle graph
Cay
(
R
+
,
U
∗
)
. In this paper, we investigate the structure of
Cay
(
R
)
. |
|---|---|
| ISSN: | 0138-4821 2191-0383 |
| DOI: | 10.1007/s13366-016-0317-3 |