Facts of Modern Algebra did not fail to cover basic definitions of some of the prominent concepts of Algebra. The author points out some widely used results in Algebra. This book makes learning complete by providing suitable examples and exercises. Likewise, this book is one of the best books for beginners. It can be used as a supplement for those who are preparing for competitive examinations in the field of Mathematics.
The book Facts of Modern Algebra covers the results of following content: Basic properties of a Groups, Important results of Order of an element in any Group, Subgroups, Lagrange’s results, Cyclic Groups, Abelian Group, Non-abelian Group, Normal Subgroups, Quotient Group, Sylow p-subgroups, Galois Group, Rings, Subrings, Ideals, Kernel, Quotients Rings, Maximal Ideals, prime ideals, units, division ring, commutative rings, fields, Euclidean Domain, Principal Ideal Domain, Unique Factorization Domain, Integral Domain, Irreducible elements, Prime elements, Polynomials, Important Concepts of Polynomials, Polynomial Field, Conditions on Irreducibility, Galois Field, Field Extension, Algebraic Extension, Finite Extension, Wilson’s theorem, Fermat’s theorem, Chinese Remainder Theorem, Congruent, Permutations and Combinations.
It majorly focuses some rare results of Group Theory, Ring Theory, Field Theory, Polynomial Theory, Galois Theory and Number Theory. On the other hand, it will be useful for all Mathematical Aspirants in CSIR NET, SET, TRB, GATE and NBHM. Similarly, this book combined Formulae as well as examples helps to crack any research board examination State or Central Government.