Noetherian local

This paper is divided into three sections. In Section 2, we give some results on weak- (FC)-sequences of modules and the analytic spread of ideals. Section 3 investigates the Krull dimension and the multiplicity of multi-graded fiber cones. The main result of this section is Theorem 3.3.

9p tamynhan5 10-12-2020 14 2   Download

In this paper, we prove that the Gorensteiness, the injective resolution, the injective envelope and Gorenstein dimension of modules are preserved by specializations.

6p tamynhan8 04-11-2020 11 1   Download

Let (R, m) be a noetherian local ring and M a finitely generated Rmodule. In this paper, we study the number of elements in a minimal system of generators of the homogeneous ideal in the idealization ring RnM. As immediate consequences, we presented a characterization for RnM being a regular local ring and homogeneous ideals of RnM being parameters ideals.

5p tonymina21 05-12-2018 34 1   Download

Let (R, m) be a Noetherian local ring and M a finitely generated R-module of dimension d. Let x = (x1, . . . , xd) be a system of parameters of M. In this paper, we give some applications of dd-sequences in the study of certain Koszul homology modules. Recall that the notion of dd-sequence was introduced by N. T. Cuong and D. T. Cuong [4], which is a distinguished type of d-sequence defined by C. Huneke.

6p blackwidow123 15-06-2018 16 2   Download

Let (R, m) be a commutative Noetherian local ring the maximal ideal and A an Artinian R-module with Ndim A = d. For each system of parameters x (x1 , ..., xd ) of A, we denote by e(x, A) the multipility of A with respect to x. Let n (n1 , n2 , ..., nd ) be a d-tuple of positive integers. The paper concerns to the function d-variables I(x(n); A) := where

11p tuanlocmuido 19-12-2012 33 1   Download