
Abstract Algebra - A Short Course
Namdeo Khobragade(Author)
LAP Lambert Academic Publishing
Published on 5. October 2016
Book
Paperback/Softback
440 pages
978-3-659-79557-2 (ISBN)
Description
The book entitled ¿Abstract Algebra ¿ A Short Course¿ contains contains Permutation Group. Group of Symmetry. Dihedral group. Commutator group. Isomorphism Theorems. Automorphism. Characteristic subgroup. Conjugacy and G-Sets. Normal Series. Solvable groups. Nilpotent groups. Cyclic decomposition of permutation group. Alternating groups. Simplicity of An. Direct product, semi-direct product of groups. Sylows theorems. Groups of order and pq. Chapter 4 includes Ideals and Homomorphisms. Sum and direct sum of ideals. Maximal and prime ideals. Nilpotent and Nil ideals. Modules. Sub modules. Direct sums. R-homomorphisms and quotient modules. Completely reducible modules. Free modules. Unique factorization domain, principal ideal domains, Euclidean domains polynomial rings over unique factorization domains. Irreducible polynomials and Eisenstein criterion, Adjunction of roots, Algebraic extensions, Algebraically closed fields, Splitting fields, Normal extensions, multiple roots. Finite fields, separable extensions, Automorphism groups and fixed fields, Fundamental theorem of Galois theory, Fundamental theorem of Algebra. Roots of unity, cyclotomic polynomials, cyclic extension.
More details
Language
English
Dimensions
Height: 220 mm
Width: 150 mm
Thickness: 27 mm
Weight
673 gr
ISBN-13
978-3-659-79557-2 (9783659795572)
Schweitzer Classification
Person
Prof Dr N W Khobragade M.Sc (Stats) M.Sc (Maths) MBA, Ph.D (Maths), Ph.D (Stats), Dept. of Maths R.T.M Nagpur University, Nagpur. Seventeen students have been awarded Doctorate degree (Ph.D) under his supervision. He has more than 220 research publication and published 35 books.