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  • 1
    Book
    Book
    Skew fields : theory of general division rings (1995)
    Cambridge :Cambridge Univ. Press,
    Details
    UID:
    almahu_BV010402859
    Format: XV, 500 S.
    Edition: 1. publ.
    ISBN: 0-521-43217-0
    Series Statement: Encyclopedia of mathematics and its applications 57
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    RVK:
    SK 230
    Keywords: Schiefkörper
    Author information: Cohn, Paul M., 1924-2006.
    Library Location Call Number Volume/Issue/Year Availability
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    Book
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  • 2
    Book
    Book
    Skew fields : theory of general division rings (1995)
    Cambridge [u.a.] : Cambridge Univ. Press
    Details
    UID:
    gbv_27255409X
    Format: XV, 500 S. , Ill. , 24 cm
    ISBN: 0521432170 , 9780521062947 , 9780521062947
    Series Statement: Encyclopedia of mathematics and its applications 57
    Note: Includes index , Hier auch später erschienene, unveränderte Nachdrucke
    Additional Edition: Erscheint auch als Online-Ausgabe Cohn, P. Skew fields Cambridge : Cambridge University Press, 1995 ISBN 9781139087193
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    RVK:
    SK 230
    Keywords: Schiefkörper ; Einbettung ; Freies Produkt ; Schiefkörper ; Schiefkörper
    URL: Verlagsangaben
    URL: Inhaltstext
    Author information: Cohn, Paul M. 1924-2006
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  • 3
    Online Resource
    Online Resource
    Skew fields : theory of general division rings (1995)
    Cambridge : Cambridge University Press
    Details
    UID:
    gbv_883364727
    Format: 1 Online-Ressource (xv, 500 pages) , digital, PDF file(s).
    ISBN: 9781139087193
    Series Statement: Encyclopedia of mathematics and its applications volume 57
    Content: Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts, and most accounts have hitherto been confined to division algebras - that is skew fields finite dimensional over their centre. Based on the author's LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation, and a precise description of the embedding problem, is followed by an account of algebraic and topological construction methods, in particular, the author's general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorem of G. M. Bergman is proved here, as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatizable.
    Content: From the preface to Skew Field Constructions -- 1. Rings and their fields of fractions -- 2. Skew polynomial rings and power series rings -- 3. Finite skew field extensions and applications -- 4. Localization -- 5. Coproducts of fields -- 6. General skew fields -- 7. Rational relations and rational identities -- 8. Equations and singularities -- 9. Valuations and orderings on skew fields
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015)
    Additional Edition: ISBN 9780521062947
    Additional Edition: ISBN 9780521432177
    Additional Edition: ISBN 9780521432177
    Additional Edition: ISBN 9780521062947
    Additional Edition: Erscheint auch als Cohn, Paul M., 1924 - 2006 Skew fields Cambridge [u.a.] : Cambridge Univ. Press, 1995 ISBN 0521432170
    Additional Edition: ISBN 9780521062947
    Additional Edition: ISBN 9780521062947
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9780521432177
    Language: English
    Subjects: Mathematics
    RVK:
    SK 600
    RVK:
    SK 230
    Keywords: Schiefkörper
    DOI: 10.1017/CBO9781139087193
    URL: Volltext
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    UB Potsdam
  • 4
    Book
    Book
    Skew fields : theory of general division rings (1995)
    Cambridge : Cambridge Univ. Press
    Details
    UID:
    b3kat_BV010402859
    Format: XV, 500 S.
    Edition: 1. publ.
    ISBN: 0521432170
    Series Statement: Encyclopedia of mathematics and its applications 57
    Language: English
    Subjects: Mathematics
    RVK:
    SK 230
    RVK:
    SK 600
    Keywords: Schiefkörper
    Author information: Cohn, Paul M. 1924-2006
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Book
    BTU Cottbus get availability status
  • 5
    Online Resource
    Online Resource
    Skew fields : theory of general division rings (1995)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almahu_9948233726202882
    Format: 1 online resource (xv, 500 pages) : , digital, PDF file(s).
    ISBN: 9781139087193 (ebook)
    Series Statement: Encyclopedia of mathematics and its applications ; volume 57
    Content: Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts, and most accounts have hitherto been confined to division algebras - that is skew fields finite dimensional over their centre. Based on the author's LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation, and a precise description of the embedding problem, is followed by an account of algebraic and topological construction methods, in particular, the author's general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorem of G. M. Bergman is proved here, as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatizable.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , From the preface to Skew Field Constructions -- 1. Rings and their fields of fractions -- 2. Skew polynomial rings and power series rings -- 3. Finite skew field extensions and applications -- 4. Localization -- 5. Coproducts of fields -- 6. General skew fields -- 7. Rational relations and rational identities -- 8. Equations and singularities -- 9. Valuations and orderings on skew fields.
    Additional Edition: Print version: ISBN 9780521432177
    Language: English
    URL: https://doi.org/10.1017/CBO9781139087193
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
  • 6
    Online Resource
    Online Resource
    Skew fields : theory of general division rings (1995)
    Cambridge [England] ; : Cambridge University Press,
    Details
    UID:
    edocfu_9959240278702883
    Format: 1 online resource (xv, 500 pages) : , digital, PDF file(s).
    ISBN: 1-139-88195-7 , 1-107-10291-X , 1-107-08840-2 , 1-107-10042-9 , 1-107-09461-5 , 1-139-08719-3
    Series Statement: Encyclopedia of mathematics and its applications ;
    Content: Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts, and most accounts have hitherto been confined to division algebras - that is skew fields finite dimensional over their centre. Based on the author's LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation, and a precise description of the embedding problem, is followed by an account of algebraic and topological construction methods, in particular, the author's general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorem of G. M. Bergman is proved here, as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatizable.
    Note: "Parts of this book appeared in Skew fields construction Cambridge University Press 1977"--t.p. verso. , From the preface to Skew Field Constructions -- 1. Rings and their fields of fractions -- 2. Skew polynomial rings and power series rings -- 3. Finite skew field extensions and applications -- 4. Localization -- 5. Coproducts of fields -- 6. General skew fields -- 7. Rational relations and rational identities -- 8. Equations and singularities -- 9. Valuations and orderings on skew fields. , English
    Additional Edition: ISBN 0-521-06294-2
    Additional Edition: ISBN 0-521-43217-0
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    FU Berlin
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