Fields of Constants of Infinite Higher Derivations
نویسندگان
چکیده
منابع مشابه
control of the optical properties of nanoparticles by laser fields
در این پایان نامه، درهمتنیدگی بین یک سیستم نقطه کوانتومی دوگانه(مولکول نقطه کوانتومی) و میدان مورد مطالعه قرار گرفته است. از آنتروپی ون نیومن به عنوان ابزاری برای بررسی درهمتنیدگی بین اتم و میدان استفاده شده و تاثیر پارامترهای مختلف، نظیر تونل زنی(که توسط تغییر ولتاژ ایجاد می شود)، شدت میدان و نسبت دو گسیل خودبخودی بر رفتار درجه درهمتنیدگی سیستم بررسی شده اشت.با تغییر هر یک از این پارامترها، در...
15 صفحه اولLocal higher derivations on C*-algebras are higher derivations
Let $mathfrak{A}$ be a Banach algebra. We say that a sequence ${D_n}_{n=0}^infty$ of continuous operators form $mathfrak{A}$ into $mathfrak{A}$ is a textit{local higher derivation} if to each $ainmathfrak{A}$ there corresponds a continuous higher derivation ${d_{a,n}}_{n=0}^infty$ such that $D_n(a)=d_{a,n}(a)$ for each non-negative integer $n$. We show that if $mathfrak{A}$ is a $C^*$-algebra t...
متن کاملGenerators of Rings of Constants of Derivations
The aim of this paper is to summarize some motivations and results concerning generators of rings of constants of derivations, especially in the positive characteristic case. 1. Preliminaries. Let k be a field of characteristic p > 0. Denote by k[X] the polynomial algebra k[x1, . . . , xn] and by k(X) the field of rational functions k(x1, . . . , xn). A k-linear mapping d : k[X] → k[X] is calle...
متن کاملInfinite derivations as failures
When operating on cyclic data, programmers have to take care in assuring that their programs will terminate; in our opinion, this is a task for the interpreter. We present a Prolog meta-interpreter that checks for the presence of cyclic computations at runtime and returns a failure if this is the case, thus allowing inductive predicates to properly deal with cyclic terms.
متن کاملHilbert’s Tenth Problem for Algebraic Function Fields over Infinite Fields of Constants of Positive Characteristic
Let K be an algebraic function field of characteristic p > 2. Let C be the algebraic closure of a finite field in K. Assume that C has an extension of degree p. Assume also that K contains a subfield K1, possibly equal to C, and elements u, x such that u is transcendental over K1, x is algebraic over C(u) and K = K1(u, x). Then the Diophantine problem of K is undecidable. Let G be an algebraic ...
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: Proceedings of the American Mathematical Society
سال: 1973
ISSN: 0002-9939
DOI: 10.2307/2039102