http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
COMINIMAXNESS OF LOCAL COHOMOLOGY MODULES WITH RESPECT TO IDEALS OF DIMENSION ONE
Roshan-Shekalgourabi, Hajar The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.2
Let R be a commutative Noetherian ring, a be an ideal of R and M be an R-module. It is shown that if $Ext^i_R(R/a,M)$ is minimax for all $i{\leq}{\dim}\;M$, then the R-module $Ext^i_R(N,M)$ is minimax for all $i{\geq}0$ and for any finitely generated R-module N with $Supp_R(N){\subseteq}V(a)$ and dim $N{\leq}1$. As a consequence of this result we obtain that for any a-torsion R-module M that $Ext^i_R(R/a,M)$ is minimax for all $i{\leq}dim$ M, all Bass numbers and all Betti numbers of M are finite. This generalizes [8, Corollary 2.7]. Also, some equivalent conditions for the cominimaxness of local cohomology modules with respect to ideals of dimension at most one are given.
COMINIMAXNESS OF LOCAL COHOMOLOGY MODULES WITH RESPECT TO IDEALS OF DIMENSION ONE
( Hajar Roshan-shekalgourabi ) 호남수학회 2018 호남수학학술지 Vol.40 No.2
Let R be a commutative Noetherian ring, a be an ideal of R and M be an R-module. It is shown that if Ext<sup>i</sup> <sub>R</sub>(R=a;M) is minimax for all i ≤ dimM, then the R-module Ext<sup>i</sup> <sub>R</sub>(N;M) is minimax for all i ≥ 0 and for any finitely generated R-module N with Supp<sub>R</sub>(N) ⊆ V (a) and dimN ≤ 1. As a consequence of this result we obtain that for any a-torsion R-module M that Ext<sup>i</sup> <sub>R</sub>(R=a;M) is minimax for all i ≤ dimM, all Bass numbers and all Betti numbers of M are finite. This generalizes [8, Corollary 2.7]. Also, some equivalent conditions for the cominimaxness of local cohomology modules with respect to ideals of dimension at most one are given.
ARTINIANNESS OF LOCAL COHOMOLOGY MODULES
Abbasi, Ahmad,Shekalgourabi, Hajar Roshan,Hassanzadeh-lelekaami, Dawood The Honam Mathematical Society 2016 호남수학학술지 Vol.38 No.2
In this paper we investigate the Artinianness of certain local cohomology modules $H^i_I(N)$ where N is a minimax module over a commutative Noetherian ring R and I is an ideal of R. Also, we characterize the set of attached prime ideals of $H^n_I(N)$, where n is the dimension of N.
MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A PAIR OF IDEALS
Abbasi, A.,Roshan Shekalgourabi, H. The Honam Mathematical Society 2012 호남수학학술지 Vol.34 No.2
Let R be a commutative Noetherian ring and I, J be ideals of R. We introduced the notion of (I; J)-cominimax R-modules. For an integer $n$ and an R-module M, let $H^i_{I,J}(M)$ be an (I; J)-cominimax R-module for all $i<n$. The J-minimaxness of some Ext modules of $H^n_{I,J}(M)$ is investigated. Among of the obtaining results, there is a generalization of the main result of [1].
ARTINIANNESS OF LOCAL COHOMOLOGY MODULES
( Ahmad Abbasi ),( Hajar Roshan Shekalgourabi ),( Dawood Hassanzadeh-lelekaami ) 호남수학회 2016 호남수학학술지 Vol.38 No.2
In this paper we investigate the Artinianness of certain local cohomology modules Hi I (N) where N is a minimax module over a commutative Noetherian ring R and I is an ideal of R. Also, we characterize the set of attached prime ideals of Hn I (N), where n is the dimension of N.
TOPOLOGICAL DIMENSION OF PSEUDO-PRIME SPECTRUM OF MODULES
Hassanzadeh-Lelekaami, Dawood,Roshan-Shekalgourabi, Hajar Korean Mathematical Society 2017 대한수학회논문집 Vol.32 No.3
Different topological dimensions related to the pseudo-prime spectrum of topological modules are studied. An example of topological modules is introduced. Also, we give a result about Noetherianness of the pseudo-prime spectrum of topological modules.