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Precize ALGEBRA II

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The entire subject matter in the present book has been arranged in a simple, systematic, graded, lucid and exhaustive manner. Each chapter begins with definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for better understanding of the subject. For UGC-CSIR NET examination, some MCQ’s from the previous years papers and other similar questions have been added at the end of the book.

Description

Factorization Theory in Integral Domains, Divisibility, Unique Factorization Domain (UFD), Principal Ideal Domain (PID), Euclidean Domain (ED) and their relationships, Noetherian and Artinian Rings, Examples and Counter Examples, Artinian Rings without zero divisors, Nil ideals in Artinian Rings, Hilbert Basis Theorem.
Modulus, Differences between Modules and Vector Spaces, Module Homomorphisms, Quotient Modules, Completely Reducible or Semi-simple Modules, Free Modules, Representation and Rank of Linear Mappings, Smith Normal Form over a PID, Finitely Generated Modules over a PID, Rational Canonical Form, Applications to finitely generated abelian groups.

Additional information

ISBN

9789382295068

Language

English

Binding

Paperback

Year of Publication

2020

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