Algebraic functions on p-rings
نویسندگان
چکیده
منابع مشابه
Algebraic properties of rings of continuous functions
This paper is devoted to the study of algebraic properties of rings of continuous functions. Our aim is to show that these rings, even if they are highly nonnoetherian, have properties quite similar to the elementary properties of noetherian rings: we give going-up and going-down theorems, a characterization of z-ideals and of primary ideals having as radical a maximal ideal and a flatness crit...
متن کاملOn the Algebraic Closure in Rings
The “algebraic closure” of a subset K ⊆ A of a ring is an algebraic analogue of topological closure. Suppose A is a ring, or additive category, with identity 1 and invertible group A−1. Then we make the following Definition 1. The algebraic closure of a subset K ⊆ A is the set (1.1) clalg(K) ≡ clalg(K) = {a ∈ A : ∀ b, c ∈ A ∃ a′ ∈ K , 1− b(a− a′)c ∈ A−1} . Equivalently (1.2) a ∈ clalg(K) ⇐⇒ ∀ b...
متن کاملJung on Algebraic Functions
The author remarks in his preface that the material has been so arranged that "the text in large type . . . may be read by itself". Yet we find on page 34 (large type) references to equations (7) and (8), which are in small type. All these, however, are unimportant oversights, and the reviewer turns from this work with the feeling that there is in it a wealth of valuable information on practica...
متن کاملOn Rings of Analytic Functions
Let D be a domain in the complex plane (Riemann sphere) and R(D) the totality of one-valued regular analytic functions defined in D. With the usual definitions of addition and multiplication R(D) becomes a commutative ring (in fact, a domain of integrity). A oneto-one conformai transformation f =0(z) of D onto a domain A induces an isomorphism ƒ—>ƒ* between R(D) and R(A):f(z) =ƒ*[(2)]. An an...
متن کاملAlgebraic Geometric Codes over Rings
Whenever information is transmitted across a channel, errors are likely to occur. Since Shannon’s groundbreaking paper [36], coding theorists have sought to construct codes that have many codewords, that are easy to encode and decode, and that correct errors. While the main tools used in coding theory have traditionally been those of combinatorics and group theory, this volume is dedicated to c...
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: Colloquium Mathematicum
سال: 1972
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-25-1-37-41