Finite Commutative Rings and Their Applications (The by Gilberto Bini,Flaminio Flamini

By Gilberto Bini,Flaminio Flamini

Foreword by way of Dieter Jungnickel
Finite Commutative earrings and their Applications solutions a necessity for an introductory reference in finite commutative ring concept as utilized to info and conversation idea. This booklet can be of curiosity to either expert and educational researchers within the fields of conversation and coding idea.


The ebook is a concrete and self-contained advent to finite commutative neighborhood earrings, focusing particularly on Galois and Quasi-Galois jewelry. The reader is supplied with an energetic and urban method of the examine of the simply algebraic constitution and houses of finite commutative jewelry (in specific, Galois jewelry) in addition to to their functions to coding conception.


Finite Commutative jewelry and their Applications is the 1st to deal with either theoretical and useful facets of finite ring concept. The authors offer a pragmatic method of finite jewelry via explanatory examples, thereby fending off an summary presentation of the topic. The part on Quasi-Galois earrings offers new and unpublished effects besides. The authors then introduce a few functions of finite jewelry, particularly Galois earrings, to coding concept, utilizing a superb algebraic and geometric theoretical heritage.

Show description

Read or Download Finite Commutative Rings and Their Applications (The Springer International Series in Engineering and Computer Science) PDF

Best group theory books

Lie Groups and Lie Algebras for Physicists

The publication is meant for graduate scholars of theoretical physics (with a historical past in quantum mechanics) in addition to researchers drawn to purposes of Lie team concept and Lie algebras in physics. The emphasis is at the inter-relations of illustration theories of Lie teams and the corresponding Lie algebras.

Finite Fields (Encyclopedia of Mathematics and its Applications)

The speculation of finite fields is a department of algebra that has come to the fore due to its diversified functions in such parts as combinatorics, coding thought and the mathematical learn of switching ciruits. This e-book is dedicated solely to the speculation of finite fields, and it presents entire assurance of the literature.

Stable Groups (London Mathematical Society Lecture Note Series)

The research of good teams connects version thought, algebraic geometry and crew thought. It analyses teams which own a definite very basic dependence relation (Shelah's inspiration of 'forking'), and attempts to derive structural houses from this. those will be group-theoretic (nilpotency or solubility of a given group), algebro-geometric (identification of a bunch as an algebraic group), or model-theoretic (description of the definable sets).

Whitehead Groups of Finite Groups (London Mathematical Society Lecture Note Series)

This book's objective is to make obtainable concepts for learning Whitehead teams of finite teams, in addition to numerous similar issues similar to induction idea and p-adic logarithms. the writer has incorporated a long advent to set the scene for non-specialists who wish an summary of the sphere, its heritage and its purposes.

Extra resources for Finite Commutative Rings and Their Applications (The Springer International Series in Engineering and Computer Science)

Example text

Download PDF sample

Rated 4.66 of 5 – based on 12 votes