Papers in Computational Methods for D-modules
نویسنده
چکیده
This is a collection of papers in computational D-module theory. The scope is limited to computation of invariants of D-modules including functors of ho-mology algebra in D-modules. If there are papers which are not cited, please let me know them. [6] Castro, F. : Théorème de division pour les opérateurs diffèrentiels et calcul des multiplicités. Thèse de 3` eme cycle, Université de Paris 7, 1984. [7] Castro, F.: Calculs effectifs pour les idéaux d'opérateurs différentiels. There are papers for the special session of computational D-module theory.
منابع مشابه
On the Associated Primes of the generalized $d$-Local Cohomology Modules
The first part of the paper is concerned to relationship between the sets of associated primes of the generalized $d$-local cohomology modules and the ordinary generalized local cohomology modules. Assume that $R$ is a commutative Noetherian local ring, $M$ and $N$ are finitely generated $R$-modules and $d, t$ are two integers. We prove that $Ass H^t_d(M,N)=bigcup_{Iin Phi} Ass H^t_I(M,N)...
متن کاملOn nest modules of matrices over division rings
Let $ m , n in mathbb{N}$, $D$ be a division ring, and $M_{m times n}(D)$ denote the bimodule of all $m times n$ matrices with entries from $D$. First, we characterize one-sided submodules of $M_{m times n}(D)$ in terms of left row reduced echelon or right column reduced echelon matrices with entries from $D$. Next, we introduce the notion of a nest module of matrices with entries from $D$. We ...
متن کاملA Note on Artinianess of Certain Generalized
Let ?: R0?R be a ring homomorphism and suppose that a and a0, respectively, are ideals of R and R0 such that is an Artinian ring. Let M and N be two finitely generated R-modules and suppose that (R0,m0) is a local ring. In this note we prove that the R-modules and are Artinian for all integers i and j, whenever and . Also we will show that if a is principal, then the R-modules and ...
متن کاملCO2 Capture by Dual Hollow Fiber Membrane Systems
In this paper, a system for efficient removal of carbon dioxide by hollow fiber membranes is proposed. The system is compact, and it is very useful for application in the offshore energy industries. In particular, it is used to removing CO2 from the exhaust of power generation facilities on offshore platforms.The proposed dual membrane contactor contains two types of membranes (polypropylene me...
متن کاملOn the Prime Spectrum of Torsion Modules
The paper uses a new approach to investigate prime submodules and minimal prime submodules of certain modules such as Artinian and torsion modules. In particular, we introduce a concrete formula for the radical of submodules of Artinian modules.
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تاریخ انتشار 2006