Some more Steinhaus type theorems over valued fields
نویسندگان
چکیده
منابع مشابه
Some Steinhaus type theorems over valued fields
© Annales mathématiques Blaise Pascal, 1996, tous droits réservés. L’accès aux archives de la revue « Annales mathématiques Blaise Pascal » (http: //math.univ-bpclermont.fr/ambp/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impres...
متن کاملFUZZY HYPERVECTOR SPACES OVER VALUED FIELDS
In this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. Finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.
متن کاملSome Examples of Valued Fields
The purpose of this paper is to use generalized power series to provide two classes of examples of valued elds. In the rst set of examples the valued elds are henselian, in general not maximal, with given residue eld and value group. In the second set of examples, the valued elds are all maximal and their families of residue elds and value groups form chains. In both cases, these elds possess a...
متن کاملLerch’s Theorems over Function Fields
In this work, we state and prove Lerch’s theorems for Fermat and Euler quotients over function fields defined analogously to the number fields. 1. Results The Fermat’s little theorem states that if p is a prime and a is an integer not divisible by p, then ap−1 ≡ 1 mod p. This gives rise to the definition of the Fermat quotient of p with base a, q(a, p) = ap−1 − 1 p , which is an integer. This q...
متن کاملBertini Theorems over Finite Fields
Let X be a smooth quasiprojective subscheme of P of dimension m ≥ 0 over Fq. Then there exist homogeneous polynomials f over Fq for which the intersection of X and the hypersurface f = 0 is smooth. In fact, the set of such f has a positive density, equal to ζX(m + 1) −1, where ζX(s) = ZX(q −s) is the zeta function of X. An analogue for regular quasiprojective schemes over Z is proved, assuming ...
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: Annales mathématiques Blaise Pascal
سال: 1999
ISSN: 1259-1734
DOI: 10.5802/ambp.114