共点的n-圈图的边理想的算术秩
Arithmetical Rank of the Edge Ideals of Some n-Cyclic Graphs with a Common Vertex
摘要
文章给出了共点的n-圈图的边理想的算术秩的上界和下界;对一些特殊的n-圈图,证明了它的算术秩等于其商环的投射维数.
In this paper,we obtain some lower bounds and upper bounds on the arithmetical rank of the edge ideals of some n-cyclic graphs with a common vertex.For some special n-cyclic graphs,we prove that their arithmetical ranks equal the projective dimension of the corresponding quotient ring.
出处
《安徽师范大学学报（自然科学版）》
CAS
2015年第6期524-527,551,共5页
Journal of Anhui Normal University(Natural Science)
关键词
臬术秩
边理想
投射维数
arithmetical rank
edge ideal
projective dimension
参考文献10
-
1BARILE M. On the arithmetical rank of the edge ideals of forests[J]. Comm Alebra, 2008,36:4678- 4703.
-
2BARILE M. On the arithmetical rank of an intersection of ideals[J]. Algebra Colloq, 2012,19(3) :797 - 806.
-
3BARILE M, KIANI D, MOHAMMADI F, YASSEMI S. Arithmetical rank of the cyclic and bieyclic graphs[J]. J Algebra Appl, 2012,11 (2):1-14.
-
4HARARY F. Graph theoryl [WTHZ][M]. Reading MA: Addison-Wesley, 1994.
-
5KIANI D, MOHAMMADI F. On the arithmetical rank of the edge ideals of some graphs[J]. Alg Coil, 2012,19(1) :797-806.
-
6KIMURA K, TERAI N. Binomial arithmetical rank of edge ideals of forests[J]. Proc Amer Math Soc, 2013,141:1925 - 1932.
-
7LYUBEZNIK G. On the local cohomology modules Hi (R) for ideals a generated by monomials in an R-sequence, in complete intersection, acireale 1983[J]. Lecture Notes in Math Vol 1092, Springer-Verlag Berlin, 1984,214- 220.
-
8LYUBEZNIK G. On the arithmetical rank of monomial ideals[J]. J Algebra, 1988,112:86 - 89.
-
9SCHMITT Th, VOGEL W. Note on set-theoretic intersections of subvarieties of projective space[J]. Math Ann, 1979,245:247 -253.
-
10VILLARREAL R H. Monomial algebras[M]. Dekker New York NY, 2001.
