quintasymptotic sequences over an ideal and quintasymptotic cograde

نویسندگان

s. jahandoust

r. naghipour

چکیده

‎let $i$ denote an ideal of a noetherian ring $r$‎. ‎the purpose of‎ ‎this article is to introduce the concepts of quintasymptotic‎ ‎sequences over $i$ and quintasymptotic cograde of $i$‎, ‎and to show that they play a role analogous to quintessential sequences‎ ‎over $i$ and quintessential cograde of $i$‎. ‎we show that‎, ‎if $r$ is‎ ‎local‎, ‎then the quintasymptotic cograde of $i$ is unambiguously‎ ‎defined and behaves well when passing to certain related local‎ ‎rings‎. ‎also‎, ‎we use this cograde to characterize two classes‎ ‎of local rings‎.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Quintasymptotic sequences over an ideal and quintasymptotic cograde

‎Let $I$ denote an ideal of a Noetherian ring $R$‎. ‎The purpose of‎ ‎this article is to introduce the concepts of quintasymptotic‎ ‎sequences over $I$ and quintasymptotic cograde of $I$‎, ‎and to show that they play a role analogous to quintessential sequences‎ ‎over $I$ and quintessential cograde of $I$‎. ‎We show that‎, ‎if $R$ is‎ ‎local‎, ‎then the quintasymptotic cograde of $I$ is una...

متن کامل

tλESSENTIAL PRIME DIVISORS AND SEQUENCES OVER AN IDEAL

All rings in this paper are assumed to be commutative with identity, and they will generally also be Noetherian. In several recent papers the asymptotic theory of ideals in Noetherian rings has been introduced and developed. In this new theory the roles played in the standard theory by associated primes, i?-sequences, classical grade, and Cohen-Macaulay rings are played by, respectively, asympt...

متن کامل

Cocycles and Mañe Sequences with an Application to Ideal Fluids

Exponential dichotomy of a strongly continuous cocycle Φ is proved to be equivalent to existence of a Mañe sequence either for Φ or for its adjoint. As a consequence we extend some of the classical results to general Banach bundles. The dynamical spectrum of a product of two cocycles, one of which is scalar, is investigated and applied to describe the essential spectrum of the Euler equation in...

متن کامل

Ideal quasi-Cauchy sequences

*Correspondence: [email protected]; [email protected] 1Department of Mathematics, Maltepe University, Marmara Eğİtİm Köyü, TR 34857, Maltepe, İstanbul, Turkey Full list of author information is available at the end of the article Abstract An ideal I is a family of subsets of positive integersN which is closed under taking finite unions and subsets of its elements. A sequence (xn) of real...

متن کامل

Spaces of Ideal Convergent Sequences

In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz function ℳ = (M(k)). We also examine some topological properties of the resulting sequence spaces.

متن کامل

Ideal convergence of bounded sequences

We generalize the Bolzano-Weierstrass theorem (that every bounded sequence of reals admits a convergent subsequence) on ideal convergence. We show examples of ideals with and without the Bolzano-Weierstrass property, and give characterizations of BW property in terms of submeasures and extendability to a maximal P-ideal. We show applications to Rudin-Keisler and Rudin-Blass orderings of ideals ...

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید


عنوان ژورنال:
bulletin of the iranian mathematical society

ناشر: iranian mathematical society (ims)

ISSN 1017-060X

دوره 40

شماره 4 2014

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023