共查询到20条相似文献,搜索用时 0 毫秒
1.
Muhammet Tamer Koşan 《Proceedings Mathematical Sciences》2009,119(4):453-458
Let R be a commutative Noetherian ring with non-zero identity and a be a maximal ideal of R. An R-module M is called minimax if there is a finitely generated submodule N of M such that M/N is Artinian. Over a Gorenstein local ring R of finite Krull dimension, we proved that the Socle of H
a
n
(R) is a minimax R-module for each n ≥ 0. 相似文献
2.
Ikuo Nishitani 《Archiv der Mathematik》2006,87(3):206-210
We show that a finitely embedded module M over a commutative ring R is Artinian if the factor module M/(0 :M P) is finitely embedded for every prime ideal P of R.
Received: 10 June 2005 相似文献
3.
Jonas Sderberg 《Journal of Algebra》2004,280(2):610-623
In order to use dualization to study Hilbert functions of artinian level algebras we extend the notion of level sequences and cancellable sequences, introduced by Geramita and Lorenzini, to include Hilbert functions of certain artinian modules. As in the case of algebras a level sequence is cancellable, but now by dualization its reverse is also cancellable which gives a new condition on level sequences. We also give a characterization of the cancellable sequences involving Macaulay representations. 相似文献
4.
Rodney Y. Sharp 《Proceedings of the American Mathematical Society》2007,135(3):665-670
Let be a commutative Noetherian local ring of prime characteristic. The purpose of this paper is to provide a short proof of G. Lyubeznik's extension of a result of R. Hartshorne and R. Speiser about a module over the skew polynomial ring (associated to and the Frobenius homomorphism , in the indeterminate ) that is both -torsion and Artinian over .
5.
Jonas Söderberg 《Journal of Pure and Applied Algebra》2006,207(2):417-432
We prove that a sequence of positive integers (h0,h1,…,hc) is the Hilbert function of an artinian level module of embedding dimension two if and only if hi−1−2hi+hi+1≤0 for all 0≤i≤c, where we assume that h−1=hc+1=0. This generalizes a result already known for artinian level algebras. We provide two proofs, one using a deformation argument, the other a construction with monomial ideals. We also discuss liftings of artinian modules to modules of dimension one. 相似文献
6.
7.
Alberto Facchini 《Annali di Matematica Pura ed Applicata》1981,128(1):359-374
Sunto Si dimostra che se M è un modulo Artiniano con zoccolo semplice su un anello commutativo R, allora EndR(M) è commutativo locale Noetheriano completo e che M, come EndR (M)-modulo, è l'inviluppo iniettivo dell'unico EndR(M)-modulo semplice. Si dimostra anche che ogni modulo di Loewy con invarianti di Loewy finiti è Artiniano e si siudia la successione degli invarianti di Loewy di un tale modulo. 相似文献
8.
Let G be a semisimple group over an algebraically closed field of characteristic p > 0. We give a (partly conjectural) closed formula for the character of many indecomposable tilting rational G-modules assuming that p is large. 相似文献
9.
Discrete (quasi) modules form an important class in module theory, they are studied extensively by many authors. The decomposition theorem for quasidiscrete modules plays an important rule in the better understanding of such modules. In fact, every quasidiscrete module is a direct sum of hollow submodules. Here we introduce some new concepts (weak quasidiscrete, and S 1- and S 2-supplemented modules) which generalize the concept of quasidiscrete module. We show that some of the properties of quasidiscrete modules still hold in the class of weak quasidiscrete modules. We also obtain some properties of weak quasidiscrete modules, which are similar to the properties known for quasidiscrete modules. We introduce the concept of generalized relative projectivity (relative S-projectivemodules), and use it to characterize direct sums of hollowmodules. In fact, relative S-projectivity is an essential condition for direct sums of hollow modules to be weak quasidiscrete modules. 相似文献
10.
Let G be a hypercyclic group and A be an Artianian G-module. A class
of simple G-modules is defined and it is proved that there exists a direct decomposition A=C B, where C is a G-submodule, each G-composition factor of which belongs to the class
, and B is a G-submodule that does not have G-composition factors belonging to
.Deceased.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, Nos. 7 and 8, pp. 930–934, July–August, 1991. 相似文献
11.
Let A be a standard graded Artinian K-algebra, with char K=0. We prove the following.
- 1.
- A has the Weak Lefschetz Property (resp. Strong Lefschetz Property) if and only if has the Weak Lefschetz Property (resp. Strong Lefschetz Property) for some linear form z of A.
- 2.
- If A is Gorenstein, then A has the Strong Lefschetz Property if and only if there exists a linear form z of A such that all central simple modules of (A,z) have the Strong Lefschetz Property.
12.
Two methods of generating classes of generalized matrix norms are presented. Particular norms obtained in this manner are investigated in some detail. 相似文献
13.
Alex Jay Feingold 《代数通讯》2013,41(12):1323-1341
The outer multiplicites of tensor product decompositions are computed for the smallest Euclidean Kac-Moody Lie algebra when one of the tensor factors is a fundamental module or the p-module. Some combinatorial identities are obtained. 相似文献
14.
Let (R, m) be a complete Noetherian local ring, I an ideal of R and M a nonzero Artinian R-module. In this paper it is shown that if p is a prime ideal of R such that dim R/p = 1 and (0:M p) is not finitely generated and for each i ? 2 the R-module Ext R i (M,R/p) is of finite length, then the R-module Ext R 1 (M, R/p) is not of finite length. Using this result, it is shown that for all finitely generated R-modules N with Supp(N) ? V (I) and for all integers i ? 0, the R-modules Ext R i (N,M) are of finite length, if and only if, for all finitely generated R-modules N with Supp(N) ? V (I) and for all integers i ? 0, the R-modules Ext R i (M,N) are of finite length. 相似文献
15.
16.
Ahmad Khojali 《Czechoslovak Mathematical Journal》2017,67(4):1021-1029
We consider the annihilator of certain local cohomology modules. Moreover, some results on vanishing of these modules will be considered. 相似文献
17.
V. S. Mazorchuk 《Ukrainian Mathematical Journal》1998,50(9):1461-1463
We classify unitarizable modules with highest weight and unitarizable modules of an intermediate series over generalized Virasoro
algebras.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 9, pp. 1278–1280, September, 1998. 相似文献
18.
We reduce the problem on multiplicities of simple subquotients in an -stratified generalized Verma module to the analogous problem for classical Verma modules. 相似文献
19.
《Journal of Computational and Applied Mathematics》1998,91(2):179-190
Recently, Chaudhry and Zubair have introduced a generalized incomplete gamma function Γ(v,x;z) which reduces to the incomplete gamma function Γ(v,x) when its variable z vanishes. We show that Γ(v,x;z) may be written essentially as a single Kampé de Fériet function which in turn may be expressed as a linear combination of two incomplete Weber integrals. Then by using properties of the latter integrals we deduce additional representations for Γ(v,x;z). In particular, we show that Γ(v,x;z) is essentially completely determined by a finite number of modified Bessel functions for all v ≠ 0 provided we know the values of the two incomplete Weber integrals when 0 < Re v ⩽ 1. When v = 0 we derive connections between the generalized incomplete gamma function and incomplete Lipschitz-Hankel integrals, and indicate that there exist connections with other special functions. 相似文献
20.
E. Albaş 《Ukrainian Mathematical Journal》2011,63(5):690-698
Let R be a prime ring with char R ≠ 2 and let d be a generalized derivation on R. We study the generalized derivation d satisfying any of the following identities:
(i) |
d[(x, y)] = [d(x), d(y)] for all x , y ∈ R ; 相似文献
|