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ADVANCED COURSE IN MODERN ALGEBRA
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ADVANCED COURSE IN MODERN ALGEBRA

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Author(s): ( J.K. GOYAL, K.P. GUPTA )

Publisher: ( Pragati Prakashan )

0. Introduction 1. Symbols and Their Meanings 2. Basic Concepts of Set 3. Basic Set Operations 4. Relations and Ordered Sets 5. Functions 6. Countabil .... Read More

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    ADVANCED COURSE IN MODERN ALGEBRA

    0. Introduction 1. Symbols and Their Meanings 2. Basic Concepts of Set 3. Basic Set Operations 4. Relations and Ordered Sets 5. Functions 6. Countability and Sequences 7. Groups 8. Subgroups 9. Normal Series and Composition Series 10. Finite Groups 11. Rings 12. Vectir Spaces 13. Extension Fields 14. Galois Theory 15. Nilpotent and Solvable Groups 16. Modules 17. Noetherian Rings ans Artinian Rings 18. Canonical Forms

    ( J.K. GOYAL, K.P. GUPTA )

    Category: Higher Education,Competitions
    ISBN: 978-93-89961-90-4
    Sr Chapter Name No Of Page
    1 INTRODUCTION 3
    2 SYMBOLS AND THEIR MEANINGS 2
    3 BASIC CONCEPTS OF SET 6
    4 BASIC SET OPERATIONS 5
    5 RELATIONS AND ORDERED SETS 3
    6 FUNCTIONS 11
    7 COUNTABILITY AND SEQUENCES 3
    8 GROUPS 118
    9 SUBGROUPS 132
    10 NORMAL SERIES AND COMPOSITION SERIES 12
    11 FINITE GROUPS 22
    12 RINGS 177
    13 VECTOR SPACES 102
    14 EXTENSION FIELDS 46
    15 GALOIS THEORY 38
    16 NILPOTENT AND SOLVABLE GROUPS 11
    17 MODULES 26
    18 FREE MODULES 5
    19 NOETHERIAN AND ARTINIAN RINGS AND MODULES 18
    20 CANONICAL FORMS AND NILPOTENT OPERATORS -753
    21 SMITH FORM OVER A PRINCIPAL IDEAL DOMAIN -753
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