Local structure of Schelter-Procesi smooth orders
نویسندگان
چکیده
منابع مشابه
ساختار کلاسهایی از حلقه های z- موضعی و c- موضعی the structure of some classes of z-local and c-local rings
فرض کنیمr یک حلقه تعویض پذیر ویکدار موضعی باشدو(j(r رایکال جیکوبسن r و(z(r مجموعه مقسوم علیه های صفر حلقه r باشد.گوییم r یک حلقه z- موضعی است هرگاه j(r)^2=. .همچنین برای یک حلقه تعویض پذیر r فرض کنیم c یک عنصر ناصفر از (z( r باشد با این خاصیت که cz( r)=0 گوییم حلقه موضعی r یک حلقه c - موضعی است هرگاه و{0 و z(r)^2={cو z(r)^3=0, نیز xz( r)=0 نتیجه دهد که x عضو {c,0 } است. در این پایان نامه ساخ...
Smooth Orders and Cryptographic Applications
We obtain rigorous upper bounds on the number of primes p ≤ x for which p−1 is smooth or has a large smooth factor. Conjecturally these bounds are nearly tight. As a corollary, we show that for almost all primes p the multiplicative order of 2 modulo p is not smooth, and we prove a similar but weaker result for almost all odd numbers n. We also discuss some cryptographic applications.
متن کاملSmooth Reenable Functions Provide Good Approximation Orders Smooth Reenable Functions Provide Good Approximation Orders
We apply the general theory of approximation orders of shift-invariant spaces of BDR1-3] to the special case when the nitely many generators L 2 (IR d) of the underlying space S satisfy an N-scale relation (i.e., they form a \father wavelet" set). We show that the approximation orders provided by such nitely generated shift-invariant spaces are bounded from below by the smoothness class of each...
متن کاملLocal Structure Theorems for Smooth Maps of Formal Schemes
We continue our study on infinitesimal lifting properties of maps between locally noetherian formal schemes started in [3]. In this paper, we focus on some properties which arise specifically in the formal context. In this vein, we make a detailed study of the relationship between the infinitesimal lifting properties of a morphism of formal schemes and those of the corresponding maps of usual s...
متن کاملTrees, Linear Orders and Gâteaux Smooth Norms
We introduce a linearly ordered set Z and use it to prove a necessity condition for the existence of a Gâteaux smooth norm on C0(Υ), where Υ is a tree. This criterion is directly analogous to the corresponding equivalent condition for Fréchet smooth norms. In addition, we prove that if C0(Υ) admits a Gâteaux smooth lattice norm then it also admits a lattice norm with strictly convex dual norm.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2000
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-00-02567-8