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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 283 - 288 (6page)
이용수
초록· 키워드
오류제보하기
Let N be a zero-symmetric near-ring with identity and let Γ(N) be a graph
with vertices as elements of N, where two different vertices a and b are adjacent if and only
if hai + hbi = N, where hxi is the ideal of N generated by x. Let Γ1(N) be the subgraph
of Γ(N) generated by the set {n ∈ N : hni = N} and Γ2(N) be the subgraph of Γ(N)
generated by the set N＼v(Γ1(N)), where v(G) is the set of all vertices of a graph G. In
this paper, we completely characterize the diameter of the subgraph Γ2(N) of Γ(N). In
addition, it is shown that for any near-ring, Γ2(N)＼(N) is a complete bipartite graph if
and only if the number of maximal ideals of N is 2, where M(N) is the intersection of all
maximal ideals of N and Γ2(N)＼(N) is the graph obtained by removing the elements of
the set M(N) from the vertices set of the graph Γ2(N).
목차
등록된 정보가 없습니다.
참고문헌 (6)
참고문헌 신청
D. D. Anderson / 1993 / Beck’s coloring of a commutative ring / J. Algebra 159 : 500 ~ 514
G. Mason / 1988 / Reflexive ideals / Comm. Algebra 9 : 1709 ~ 1724
G. Pilz / 1983 / Near-Rings / North-Holland
H. R. Maimani / 2008 / Comaximal graph of commutative rings / J. Algebra 319 (4) : 1801 ~ 1808
I. Beck / 1988 / Coloring of commutative rings / J. Algebra 116 : 208 ~ 226
G. Mason / 1988 / Reflexive ideals / Comm. Algebra 9 : 1709 ~ 1724
G. Pilz / 1983 / Near-Rings / North-Holland
H. R. Maimani / 2008 / Comaximal graph of commutative rings / J. Algebra 319 (4) : 1801 ~ 1808
I. Beck / 1988 / Coloring of commutative rings / J. Algebra 116 : 208 ~ 226
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