rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Algebra
    part number: Volume 1
  name:
    name part: Rédei, L.
    role:
      role term: creator
  name:
    name part: Sneddon, I. N.
  name:
    name part: Stark, M.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: enk
    place:
      place term: Oxford
    publisher: Pergamon Press
    date issued: 1967
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (843 pages)
  table of contents: Front Cover; Algebra; Copyright Page; Table of Contents; PREFACE TO THE GERMAN EDITION; PREFACE TO THE ENGLISH EDITION; LIST OF SYMBOLS; CHAPTER I. SET-THEORETICAL PRELIMINARIES; 1. Sets; 2. Relations; 3. Mappings; 4. Multiplication of Mappings; 5. Functions; 6. Classification of a Set. Equivalence Relations; 7. Natural Numbers; 8. Equipotent Sets; 9. Ordered and Semiordered Sets; 10. Well-ordered Sets; 11*. The Lemma of Kuratowski-Zorn; 12. The Special Lemma of Kuratowski-Zorn; 13. The Lemma of Teichmiiller-Tukey; 14. The Theorem of Hausdorff-Birkhoff.
  table of contents: 15. Theorem of Well-ordering 16. Transfinite Induction; CHAPTER II. STRUCTURES; 17. Compositions; 18. Operators; 19. Structures; 20. Semigroups; 21. Groups; 22. Modules; 23. Rings; 24. Skew Fields; 25. Substructures; 26. Generating Elements; 27. Some Important Substructures; 28. Isomorphisms; 29. Homomorphisms; 30. Factor Structures; 31. The Homomorphy Theorem; 32. Automorphisms. Endomorphisms. Autohomomorphisms. Meromorphisms; 33. Isomorphic Structures with the Same Elements; 34. Skew Products; 35. Structure Extensions.
  table of contents: 36. Representation of Groups by Permutation Groups 37. Endomorphism Rings; 38. Representation of Rings by Endomorphism Rings; 39. Anti-isomorphisms. Anti-automorphisms; 40. Complexes; 41. Cosets. Residue Classes; 42. Normal Divisors. Ideals; 43. Alternating Groups; 44. Direct Products. Direct Sums; 45. Basis; 46. Congruences; 47. Quotient Structures; 48. Difference Structures; 49. Free Structures. Structures Defined by Equations; 50. Schreier Group Extensions; 51. The Holomorph of a Group; 52. Everett Ring Extensions; 53. Double Homothetisms.
  table of contents: 54. The Holomorphs of a Ring 55. The Two Isomorphy Theorems; 56. Simple Factor Structures; 57. Commutative Factor Structures; 58, Zassenhaus's Lemma; 59. Schreier's Main Theorem and the Jordan-Hölder Theorem; 60. Lattices; CHAPTER III. OPERATOR STRUCTURES; 61. Operator Structures; 62. Operator Groups, Operator Modules and Operator Rings; 63. Remak-Krull-Schmidt Theorem; 64. Vector Spaces. Double Vector Spaces. Algebras. Double Algebras; 65. Cross Products; 66. Monomial Rings; 67. Polynomial Rings; 68. Linear Mappings; 69. Full Matrix Rings; 70. Linear Groups.
  table of contents: 71. Alternating Rings 72. Determinants; 73. Cramer's Rule; 74. Characteristic Polynomials; 75. Norms and Traces; 77. The Quaternion Group; 78. Quaternion Rings; CHAPTER IV. DIVISIBILITY IN RINGS; 79. Factor Decompositions and Divisibility; 80. Ideals and Divisibility; 81. Principal Ideal Rings; 82. Euclidean Rings; 83. Euclid's Algorithm; 84. The Ring of the Integers; 85. Szendrei's Theorem; 86. Polynomial Rings over Skew Fields; 87. The Residue Theorem for Polynomials; 88. Gauss's Theorem; 89.* The Ring of Integral Quaternions.
  note: Chapter v. finite abelian groups.
  note: Algebra.
  note: Includes bibliographical references and index.
  subject:
    topic: Algebra
  subject:
    topic: Algèbre
  subject:
    topic: algebra
  subject:
    topic: MATHEMATICS
    topic: Algebra
    topic: Intermediate
  subject:
    topic: Algebra
  classification: QA155
  classification: 512
  related item:
    title info:
      title: Algebra : International Series of Monographs in Pure and Applied Mathematics, Vol. 91-1
    name:
      name part: Rédei, L.
    origin info:
      publisher: Burlington : Elsevier Science, ©2014
  related item:
    title info:
      title: International series in pure and applied mathematics
  identifier: 9781483222646
  identifier: 1483222640
  identifier: 1483197611
  identifier: 9781483197616
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: EBLCP
    record creation date: 141227
    record change date: 20260326212722.3
    record identifier: in00005758407
    language of cataloging:
      language term: eng