Ring Theory
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Beschreibung
This textbook is designed for the UG/PG students of mathematics for all universities over the world. It is primarily based on the classroom lectures, the authors gave at the University of Delhi. This book is used both for self-study and course text. Full details of all proofs are included along with innumerous solved problems, interspersed throughout the text and at places where they naturally arise, to understand abstract notions. The proofs are precise and complete, backed up by chapter end problems, with just the right level of difficulty, without compromising the rigor of the subject. The book starts with definition and examples of Rings and logically follows to cover Properties of Rings, Subrings, Fields, Characteristic of a Ring, Ideals, Integral Domains, Factor Rings, Prime Ideals, Maximal Ideals and Primary Ideals, Ring Homomorphisms and Isomorphisms, Polynomial Rings, Factorization of Polynomials, and Divisibility in Integral Domains.
This textbook is designed for the UG/PG students of mathematics for all universities over the world. It is primarily based on the classroom lectures, the authors gave at the University of Delhi. This book is used both for self-study and course text. Full details of all proofs are included along with innumerous solved problems, interspersed throughout the text and at places where they naturally arise, to understand abstract notions. The proofs are precise and complete, backed up by chapter end problems, with just the right level of difficulty, without compromising the rigor of the subject. The book starts with definition and examples of Rings and logically follows to cover Properties of Rings, Subrings, Fields, Characteristic of a Ring, Ideals, Integral Domains, Factor Rings, Prime Ideals, Maximal Ideals and Primary Ideals, Ring Homomorphisms and Isomorphisms, Polynomial Rings, Factorization of Polynomials, and Divisibility in Integral Domains.
Contains full details of all proofs which are included along with innumerous solved problems Offers proofs which are precise and complete, backed up by chapter end problems, with just the right level of difficulty Targets undergraduate and postgraduate students of mathematics for all universities where mathematics is taught
Autor*in
Dinesh Khattar
Themen in »Ring Theory«
Simple Rings Factor Rings Ring Homomorphisms Isomorphisms Ring Homomorphism Isomorphism Theorems Polynomial Rings Polynomials
Stimmen zu »Ring Theory«
“The writing is clear and detailed. Most everything is proved in the text … . Examples are used extensively. … Solved problems are interspersed, as appropriate, throughout the book. Exercises are plentiful … . These features enhance the value of this book for self-study.” (Mark Hunacek, MAA Reviews, December 30, 2023)
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