V K Khanna & S K Bhambri,  <br/><br/>
A Course in Abstract Algebra 
V K Khanna & S K Bhambri,  
 - 5 
 - New Delhi  S. Chand & Coompany  2017 
 - 880 p. 
<br/><br/> 1 Preliminaries<br/><br/>Sets 1<br/><br/>Subsets 2<br/><br/>Relations 4<br/><br/>Equivalence Classes 6 Mappings or Functions<br/><br/>Equality of Mappings 9 Composition of Mappings<br/><br/>Binary Compositions 13<br/><br/>Permutations 14 Cyclic Permutations 17<br/><br/>Cycles of a Permutation 18<br/><br/>Disjoint Permutations 20<br/><br/>Some Results From Number Theory 25<br/><br/>The Greatest Common Divisor 29<br/><br/>Prime Numbers 35<br/><br/>Composite Numbers 36 Congruences 37<br/><br/>Chinese Remainder Theorem<br/><br/>2 Groups<br/><br/>Subgroups 63<br/><br/>Cyclic Groups 78<br/><br/>3 Normal Subgroups, Homomorphisms, Permutation Groups<br/><br/>Quotient Groups 110<br/><br/>Homomorphisms Isomorphisms 118<br/><br/>Automorphisms and Conjugate<br/><br/>Automorphism 173<br/><br/>Sabgroups<br/><br/>Elements 187<br/><br/>Partition Integer 202<br/><br/>Theorems Direct Sylowp-subgrup 215 Couct 217 in 235 Abelian Groups 264<br/><br/>Actions, Solvable<br/><br/>Series 298<br/><br/>Nilpotest Groups<br/><br/>347<br/><br/>Subringi 348<br/><br/>of Ring<br/><br/>Rings 362<br/><br/>364<br/>7<br/><br/>Rings<br/><br/>Subrings 347<br/><br/>Sum of Two Subrings 348<br/><br/>Characteristic of a Ring 354<br/><br/>Product of Rings 362 Ideals 364<br/><br/>Sum of Ideals 367<br/><br/>Product of Ideals 371<br/><br/>8 Homomorphisms and Embedding of Rings<br/><br/>Quotient Rings 380<br/><br/>Homomorphisms<br/><br/>382<br/><br/>Embedding of Rings 394<br/><br/>More on Ideals 405<br/><br/>Maximal Ideals<br/><br/>407<br/><br/>9 Euclidean and Factorization Domains<br/><br/>Euclidean Domains 429<br/><br/>Prime and Irreducible Elements 440 Polynomial Rings 449<br/><br/>Greatest Common Divisor 469 Unique Factorization Domams 471<br/><br/>Noctherian Rings 505<br/><br/>10 Vector Spaces Subspaces 514<br/><br/>Sum of Subspaces<br/> 
<br/><br/><label>ISBN: </label>9789352593200 
<br/><br/><label>Source: </label> 599 
<br/><br/><label>Dewey Class. No.: </label>QA162