Modern Algebra

For Almost FortyFive Years, The Book Modern Algebra Has Served The Student Community As A Textbook For Introductory Courses On The Subject. It Caters To Undergraduate And Postgraduate Students. The Book Starts From Set Theory And Covers An Advanced Course In Group Theory And Ring Theory. A Detailed Study Of Field Theory And Its Application To Geometry Is Undertaken After A Brief And Concise Account Of Vector Spaces And Linear Transformations. One Of The Chapters Discusses Rings With Chain Conditions And HilbertS Basis Theorem. The Book Is Replete With Solved Examples To Provide Ample Opportunity To Students To Comprehend The Subject. This Edition Carries An Improvement Over All The Previous Editions Inasmuch As It Incorporates Latest Developments And Thinking On The Subject. Presentation Of The Subject Matter Has Been Modified In Line With Current Thinking. Many Results Have Been Rearranged, And The Proofs Of Many Theorems Rewritten. It Also Carries More Examples Now. One Very Perceptible Change Is The Introduction Of Multiple Choice Questions At The End Of Relevant Chapters In Keeping With The Latest Trend Of Framing Questions, Especially Because This Subject Is Finding Place In Competitive Examinations As Well. Learning Objectives Have Been Added For All Chapters Online Registration Process Of Llp Llp Liquidation Process Under Ibc, 2016 Proposals By Mca To Boost Llps In India The Information Technology (Intermediary Guidelines And Digital Media Ethics Code) Rules, 2021 (Which Came Into Force On 26 May, 2021) Explains Complicated Provisions In Easily Comprehensible Language With The Help Of Illustrations And Analogies 1. Completely Revisited. Relevant Changes Effected To Make The Subject More Comprehensible 2. Proof Of SchrderBernstein Theorem Provided 3. Topic Of SemiDirect Product Of Groups Introduced 4. Proofs Of Fundamental Theorem Of Arithmetic And CauchyS Theorem For Finite Groups Rewritten 5. Solutions Provided To More Problems 6. 124 Mcqs Framed In A Manner That Enables Generation Of More Questions 1: Set Theory 2: Groups 3: Quotient Groups, Homomorphisms And Permutations 4: Structure Theory Of Groups 5: Solvable Groups And JordanHolder Theorem 6: Survey Of Some Finite Groups 7: Rings 8: Homomorphisms And Embedding Of Rings 9: Polynomial Rings 10: Factorization Theory In Integral Domains 11: Vector Spaces 12: Linear Transformations 13: Fields 14: Galois Theory 15: Rings With Chain Conditions 16: Canonical Forms Bibliography Index