Author： Zhu Guangjun
Publisher： Taylor & Francis Ltd
ISSN： 0092-7872
Source： Communications in Algebra, Vol.37, Iss.10, 2009-10, pp. : 3686-3696
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
Let (R, ) be a Cohen-Macaulay local ring of dimension d > 0, I an -primary ideal of R, and K an ideal containing I. When r(I | K)<∞, we give a lower bound and an upper bound for f1(I). Under the above assumption on r(I | K) and depth G(I) ≥ d - 1, we also provide a characterization, in terms of f1(I), of the condition depth FK(I) ≥ d - 1.
Related content
On Fiber Coefficients of Fiber Cones
By Zhu Guangjun
Communications in Algebra, Vol. 36, Iss. 11, 2008-11 ,pp. :
Access to resources
Recommend
A Lower Bound on the Second Fiber Coefficient of the Fiber Cones
By Zhu Guangjun Tang Zhongming
Communications in Algebra, Vol. 38, Iss. 5, 2010-05 ,pp. :
On the Depth of the Fiber Cone of Filtrations
Journal of Algebra, Vol. 198, Iss. 2, 1997-12 ,pp. :
By Lerman E.
Journal of Geometry and Physics, Vol. 49, Iss. 1, 2004-01 ,pp. :
On the Homology and Fiber Cone of Ideals
By D'Cruz Clare
Communications in Algebra, Vol. 41, Iss. 11, 2013-11 ,pp. :