Notes on Algebraic Structures by Peter J. Cameron
About this book :-
These lecture notes begin with a brief review of foundational topics such as functions, equivalence relations, matrices, polynomials, and permutations. The text can be divided into two parts 1-Rings and 2-Groups. This structure allows students to first explore the familiar properties of integers and then generalize these concepts to more abstract algebraic systems.
The course emphasizes key concepts like subrings, homomorphisms, ideals, normal subgroups, and the Isomorphism Theorems. While the chapters on rings and groups run in parallel, they diverge towards the end, with ring theory delving into factorization in integral domains and field construction, and group theory covering topics like Cayley’s Theorem and small groups.
Book Detail :-
Title:
Notes on Algebraic Structures by Peter J. Cameron
Publisher:
Queen Mary, University of London
Year:
2006
Pages:
102
Type:
PDF
Language:
English
ISBN-10 #:
0198569130
ISBN-13 #:
978-0198569138
License:
Linked Content Owned by Author
Amazon:
Amazon
About Author :-
The author
Peter J. Cameron
is Emeritus Professor of Mathematics at Queen Mary, University of London, having been a Professor of Mathematics in the School of Mathematical Sciences from 1987 to 2012. He is famous for his notes for Introduction to Algebra, Linear Algebra, Algebraic Structures, Number Theory, Combinatorics, Probability, Cryptography, and Complexity. There are also graduate notes on Classical Groups, Polynomial Aspects of Codes etc., Enumerative Combinatorics, Primitive Lambda-Roots (with Donald Preece), Projective and Polar Spaces, and Finite Geometry and Coding Theory, as well as LTCC notes on Synchronization and (with R. A. Bailey) on Laplace eigenvalues and optimality.
Book Contents :-
1. Introduction
2. Rings
3. Groups
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