共查询到20条相似文献，搜索用时 15 毫秒
1.
Vladimir G. Berkovich 《Journal of the American Mathematical Society》1996,9(4):1187-1209
2.
Fernando Pablos Romo 《Proceedings of the American Mathematical Society》2007,135(7):1977-1985
The aim of this note is to offer a new explicit expression of the Contou-Carrère symbol that depends only on a product of a finite number of terms. As an application, we obtain an explicit formula for a Witt Residue.
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Shiro Goto Futoshi Hayasaka 《Proceedings of the American Mathematical Society》2002,130(11):3159-3164
Let be an integrally closed ideal in a commutative Noetherian ring . Then the local ring is regular (resp. Gorenstein) for every if the projective dimension of is finite (resp. the Gorenstein dimension of is finite and satisfies Serre's condition (S)).
5.
Mamoru Furuya Hiroshi Niitsuma 《Proceedings of the American Mathematical Society》2004,132(11):3189-3193
We introduce the concept of -adic -basis as an extension of the concept of -basis. Let be a regular local ring of prime characteristic and a ring such that . Then we prove that is a regular local ring if and only if there exists an -adic -basis of and is Noetherian.
6.
Gena Puninski 《Algebras and Representation Theory》2003,6(3):239-250
Using geometrical invariants we classify those pure injective modules over a commutative valuation domain which are envelopes of one element. 相似文献
7.
Shiro Goto Futoshi Hayasaka Shin-ichiro Iai 《Proceedings of the American Mathematical Society》2003,131(1):87-94
Let be a regular local ring and let be a filtration of ideals in such that is a Noetherian ring with . Let and let be the -invariant of . Then the theorem says that is a principal ideal and for all if and only if is a Gorenstein ring and . Hence , if is a Gorenstein ring, but the ideal is not principal.
8.
Mohamed Chraibi Kaadoud 《Proceedings of the American Mathematical Society》2004,132(8):2421-2428
In this paper, we present an extension of Bouldin's result (1970) concerning the numerical range of the product of two operators and that are commuting and for which one of the set or consists of positive numbers. We also prove that if or is a subnormal operator on a separable Hilbert space, then
where is the operator bimultiplication and is the convex hull.
où est l'opérateur produit ou bimultiplication et est l'enveloppe convexe.
where is the operator bimultiplication and is the convex hull.
RÉSUMÉ. Dans ce travail, nous améliorons un résultat de Bouldin (1970) concernant la localisation de le domaine numérique du produit de deux opérateurs et sur un espace de Hilbert lorsque et commutent et est constitué de réels strictement positifs. Dans le cas où ou est un opérateur sous normal sur un espace de Hilbert séparable, nous montrons que
où est l'opérateur produit ou bimultiplication et est l'enveloppe convexe.
9.
Although general order multivariate Padé approximants were introduced some decades ago, very few explicit formulas for special functions have been given. We explicitly construct some general order multivariate Padé approximants to the class of so-called pseudo-multivariate functions, using the Padé approximants to their univariate versions. We also prove that the constructed approximants inherit the normality and consistency properties of their univariate relatives, which do not hold in general for multivariate Padé approximants. Examples include the multivariate forms of the exponential and the -exponential functions and as well as the Appell function and the multivariate form of the partial theta function
10.
Consider the multi-homogeneous homotopy continuation method for solving a system of polynomial equations. For any partition of variables, the multi-homogeneous Bézout number bounds the number of isolated solution curves one has to follow in the method. This paper presents a local search method for finding a partition of variables with minimal multi-homogeneous Bézout number. As with any other local search method, it may give a local minimum rather than the minimum over all possible homogenizations. Numerical examples show the efficiency of this local search method.
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L.J. Ratliff 《Journal of Pure and Applied Algebra》1978,12(2):159-175
A chain condition intermediate to the catenary property and the chain condition for prime ideals (c.c.) is studied. Like the c.c., the condition is inherited from a semi-local domain R by integral extension domains, by local quotient domains, and by factor domains, and a semi-local ring that satisfies the condition is catenary. (Unlike the c.c., none of these statements is true when R is not semi-local.) A number of characterizations of a semi-local domain that satisfies the condition are given in terms of: integral (respectively, algebraic, transcendental) extension domains, Henselizations, completions, Rees rings, associated graded rings and certain discrete valuation over-rings. Then four of the catenary chain conjectures are characterized in terms of this condition. 相似文献
14.
On Real Closed Regular Rings 总被引：1，自引：0，他引：1
Zhizhong Dai 《Algebra Colloquium》2003,10(1):91-94
The aim of this paper is to investigate some properties of real closed regular rings, in particular, the role played by real place in a real closed regular ring.2000 Mathematics Subject Classification: 13J25This work was supported by NSF of Jiangxi Province, China. 相似文献
15.
Mihai N. Pascu 《Proceedings of the American Mathematical Society》2005,133(6):1707-1711
We use Lévy's theorem on invariance of planar Brownian motion under conformal maps and the support theorem for Brownian motion to show that the range of a non-constant polynomial of a complex variable consists of the whole complex plane. In particular, we obtain a probabilistic proof of the fundamental theorem of algebra.
16.
Anatolii Grinshpan 《Proceedings of the American Mathematical Society》2002,130(2):453-460
We analyze a minimum energy problem for a discrete electrostatic model in the complex plane and discuss some applications. A natural characteristic distinguishing the state of minimum energy from other equilibrium states is established. It enables us to gain insight into the structure of positive trigonometric polynomials and Dirichlet spaces associated with finitely atomic measures. We also derive a related family of linear second order differential equations with polynomial solutions.
17.
Saoussen Kallel-Jallouli 《Proceedings of the American Mathematical Society》2003,131(4):1103-1108
We prove the local solvability of the -dimensional complex Monge-Ampère equation , 0$\">, in a neighborhood of any point where but .
18.
Bo Lu 《数学研究通讯：英文版》2013,29(1):41-50
Let $R$ be a ring, and let $(\mathcal{F}, C)$ be a cotorsion theory. In this article, the
notion of $\mathcal{F}$-perfect rings is introduced as a nontrial generalization of perfect rings
and A-perfect rings. A ring $R$ is said to be right $\mathcal{F}$-perfect if $F$ is projective relative
to $R$ for any $F ∈ \mathcal{F}$. We give some characterizations of $\mathcal{F}$-perfect rings. For example,
we show that a ring $R$ is right $\mathcal{F}$-perfect if and only if $\mathcal{F}$-covers of finitely generated
modules are projective. Moreover, we define $\mathcal{F}$-perfect modules and investigate some
properties of them. 相似文献
19.
Seppo Hassi Adrian Sandovici Henk de Snoo Henrik Winkler 《Proceedings of the American Mathematical Society》2007,135(10):3193-3204
The sum of two nonnegative selfadjoint relations (multi-valued operators) and is a nonnegative relation. The class of all extremal extensions of the sum is characterized as products of relations via an auxiliary Hilbert space associated with and . The so-called form sum extension of is a nonnegative selfadjoint extension, which is constructed via a closed quadratic form associated with and . Its connection to the class of extremal extensions is investigated and a criterion for its extremality is established, involving a nontrivial dependence on and .
20.
设O→J→A→B→O是一个拟对角扩张.作者证明如果J和B具有Cuntz半群的某些性质,则A也具有相同的半群性质. 相似文献