On Burch’s Inequality and a Reduction System of a Filtration
نویسنده
چکیده
Let F = {Fn} be a multiplicative filtration of a local ring such that the Rees algebra R(F) is Noetherian. We recall Burch’s inequality for F and give an upper bound of the a-invariant of the associated graded ring a(G(F)) using a reduction system of F . Applying those results, we study the symbolic Rees algebra of certain ideals of dimension 2.
منابع مشابه
Results on Generalization of Burch’s Inequality and the Depth of Rees Algebra and Associated Graded Rings of an Ideal with Respect to a Cohen-Macaulay Module
Let be a local Cohen-Macaulay ring with infinite residue field, an Cohen - Macaulay module and an ideal of Consider and , respectively, the Rees Algebra and associated graded ring of , and denote by the analytic spread of Burch’s inequality says that and equality holds if is Cohen-Macaulay. Thus, in that case one can compute the depth of associated graded ring of as In this paper we ...
متن کاملRemoval of Coliform, Suspended Solids, UV254 and Colour Using Zeolite and Activated Carbon in Riverbank Filtration System
River bank filtratio filtration (RBF) is one of the novel water abstraction alternatives to tackle poor water quality problem in Malaysia. This study was conducted to investigate the potential use of zeolite and activated carbon as filter media in the laboratory RBF system. Characteristics of the materials were first determined using the surface analyzer and X-ray fluorescence method. Filter co...
متن کاملInclusive Growth in Iran's Provinces (2004 -2015)
This paper aims to focus on inclusive growth and its impact on multidimensional poverty and inequality in Iran's provinces on the basis of social mobility index. The results suggest, that although the multi-dimensional poverty has decreased, participation of active labor force has a decisive role in inclusive growth and reduction of absolute multi-dimensional poverty of the provinces. But l...
متن کاملآثار بازتوزیع فرصتها بر نابرابری درآمدی؛ تحلیل تعادل عمومی محاسبهپذیر
The allocation of opportunities affects income distribution and income inequality. This paper analyzes the economic impacts of initial allocation of resources and redistribution of opportunities. In this study, we apply a computable general equilibrium (CGE) model focusing on distribution of opportunities and allocation of available resources. The differences between households' income are ca...
متن کاملAnalysis of the Effect of Financial Policy (Income Tax) on Income Distribution in Iran with ARDL Approach
Economic justice and equitable distribution of income, along with important issues such as economic growth and development, the reduction of inflation and unemployment, have always been of concern to economists. Fair distribution of income and reduction of income inequality in society, and the identification of factors affecting income inequality to make the right policy are necessary and obvio...
متن کامل