Superstability of F -structures

نویسندگان

  • RAHIM MOOSA
  • THOMAS SCANLON
چکیده

The following note is a supplement to [1]. We will maintain the notation of [1] throughout, and all numbered items to which we refer are from that paper. Theorem 6.11 states that if M is a finitely generated R-module then Th(M,F) is stable. As pointed out in Remark 6.12, the proof Theorem 6.11 yields a stronger conclusion: Th(M,F) is superstable. These notes consist of detailed arguments for this strengthening.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Superstability and Stability of the Pexiderized Exponential Equation

The main purpose of this paper is to establish some new results onthe superstability and stability via a fixed point approach forthe Pexiderized exponential equation, i.e.,$$|f(x+y)-g(x)h(y)|leq psi(x,y),$$where $f$, $g$ and $h$ are three functions from an arbitrarycommutative semigroup $S$ to an arbitrary unitary complex Banachalgebra and also $psi: S^{2}rightarrow [0,infty)$ is afunction. Fur...

متن کامل

On Hilbert Golab-Schinzel type functional equation

Let $X$ be a vector space over a field $K$ of real or complex numbers. We will prove the superstability of the following Go{l}c{a}b-Schinzel type equation$$f(x+g(x)y)=f(x)f(y), x,yin X,$$where $f,g:Xrightarrow K$ are unknown functions (satisfying some assumptions). Then we generalize the superstability result for this equation with values in the field of complex numbers to the case of an arbitr...

متن کامل

Stability and superstability of homomorphisms on C∗−ternary algebras

In this paper, we investigate the stability and superstability of homomorphisms on C∗−ternary algebras associated with the functional equation f( x+ 2y + 2z 5 ) + f( 2x+ y − z 5 ) + f( 2x− 3y − z 5 ) = f(x).

متن کامل

Notes on the Superstability of D’alembert Type Functional Equations

In this paper we will investigate the superstability of the generalized d’Alembert type functional equations Pm i=1 f(x + σ i(y)) = kg(x)f(y) and Pm i=1 f(x + σ i(y)) = kf(x)g(y).

متن کامل

Superstability of the generalized orthogonality equation on restricted domains

Chmieliński has proved in the paper [4] the superstability of the generalized orthogonality equation |〈 f (x), f (y)〉| = |〈x,y〉|. In this paper, we will extend the result of Chmieliński by proving a theorem: Let Dn be a suitable subset of Rn. If a function f : Dn → Rn satisfies the inequality ||〈 f (x), f (y)〉|− |〈x,y〉|| ≤ φ(x,y) for an appropriate control function φ(x,y) and for all x,y ∈ Dn, ...

متن کامل

ذخیره در منابع من


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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003