Cohn, P. M. (Paul Moritz)Overview
Publication Timeline
Most widely held works by
P. M Cohn
Skew fields theory of general division rings
by P. M Cohn
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32 editions published between 1973 and 2008 in 3 languages and held by 1,751 WorldCat member libraries worldwide Noncommutative 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 finitedimensional 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 are 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 theorems of G.M. Bergman are proved here as well as the properties of the matrix reduction functor, a useful but littleknown construction providing a source of examples and counterexamples
Universal algebra
by P. M Cohn
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Book
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31 editions published between 1965 and 1981 in English and Undetermined and held by 918 WorldCat member libraries worldwide
Algebra
by P. M Cohn
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68 editions published between 1974 and 1995 in 3 languages and held by 890 WorldCat member libraries worldwide Sets and mappings; Integers and rational numbers; Groups; Vector spaces and linear mapping; Linear equations; Rings and fields; Determinants; Quadratic forms; Further group theory; Rings and modules; Normal forms for matrices
Free rings and their relations
by P. M Cohn
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24 editions published between 1971 and 1985 in English and held by 743 WorldCat member libraries worldwide
Lie groups
by P. M Cohn
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Book
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39 editions published between 1957 and 2009 in English and Undetermined and held by 642 WorldCat member libraries worldwide
Introduction to ring theory
by P. M Cohn
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17 editions published between 2000 and 2004 in English and Undetermined and held by 537 WorldCat member libraries worldwide "Most parts of algebra have undergone great changes and advances this century, perhaps none more so than ring theory. In this volume, Paul Cohn provides a clear and structured introduction to the subject." "After a chapter on the definition of rings and modules there are brief accounts of Artinian rings, commutative Noetherian rings and ring constructions, such as the direct product, tensor product and rings of fractions, followed by a description of free rings. The reader is assumed to have a basic understanding of set theory, group theory and vector spaces. Over two hundred carefully selected exercises are included, most with outline solutions."BOOK JACKET
Linear equations
by P. M Cohn
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Book
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33 editions published between 1958 and 1980 in English and Undetermined and held by 402 WorldCat member libraries worldwide
Elements of linear algebra
by P. M Cohn
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11 editions published between 1994 and 1999 in English and held by 347 WorldCat member libraries worldwide
Algebraic numbers and algebraic functions
by P. M Cohn
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10 editions published in 1991 in English and held by 306 WorldCat member libraries worldwide
Solid geometry
by P. M Cohn
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21 editions published between 1961 and 1968 in English and held by 306 WorldCat member libraries worldwide
Basic algebra : groups, rings, and fields
by P. M Cohn
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17 editions published between 2002 and 2013 in English and held by 252 WorldCat member libraries worldwide Basic Algebra is the first volume of a new and revised edition of P.M. Cohn's classic threevolume text Algebra which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two selfcontained, companion volumes, covering advanced topics in algebra for second and thirdyear undergraduate and postgraduate research students. In this first volume, the author covers the important results of algebra; the companion volume, Further Algebra and Applications, brings more advanced topics and focuses on the applications. Readers should have some knowledge of linear algebra and have met groups and fields before, although all the essential facts and definitions are recalled. The coverage is comprehensive and includes topics such as:  Groups  lattices and categories  rings, modules and algebras  fields The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks
Lectures on algebraic numbers and algebraic functions
by P. M Cohn
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Book
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7 editions published in 1969 in English and Italian and held by 237 WorldCat member libraries worldwide
Free ideal rings and localization in general rings
by P. M Cohn
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Book
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11 editions published between 2005 and 2007 in English and held by 233 WorldCat member libraries worldwide "This book presents the theory of free ideal rings (firs) in detail. Particular emphasis in placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization, which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends with a historical note."BOOK JACKET
Further algebra and applications
by P. M Cohn
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Book
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13 editions published between 2003 and 2013 in English and held by 219 WorldCat member libraries worldwide Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic threevolume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two selfcontained, companion volumes, covering advanced topics in algebra for second and thirdyear undergraduate and postgraduate research students. The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as:  groups and algebras  homological algebra  universal algebra  general ring theory  representations of finite groups  coding theory  languages and automata The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks
Morita equivalence and duality
by P. M Cohn
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Book
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20 editions published between 1965 and 1976 in English and Undetermined and held by 141 WorldCat member libraries worldwide
Classic algebra
by P. M Cohn
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13 editions published between 2000 and 2001 in English and held by 140 WorldCat member libraries worldwide
Algebra
by P. M Cohn
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Book
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27 editions published between 1974 and 1997 in 3 languages and held by 103 WorldCat member libraries worldwide
Algebra
by P. M Cohn
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Book
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13 editions published between 1989 and 1995 in English and held by 55 WorldCat member libraries worldwide
Algebra
by P. M Cohn
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Book
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16 editions published between 1991 and 1996 in English and held by 53 WorldCat member libraries worldwide
Free rings
by P. M Cohn
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Book
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6 editions published between 1960 and 1962 in English and Undetermined and held by 51 WorldCat member libraries worldwide more
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Related Identities
Associated Subjects
Algebra Algebra, Abstract Algebra, Universal Algebraic fields Algebraic functions Algebraic number theory Algebras, Linear Associative algebras Associative rings Categories (Mathematics) Division rings Duality theory (Mathematics) Equations Equations, Simultaneous Field theory (Physics) Geometry Geometry, Solid Group theory Ideals (Algebra) Lie groups Mathematics Matrices Modules (Algebra) Rings (Algebra) Topology Vector analysis

Alternative Names
Cohn, P. M.
Cohn, P. M. 19242006
Cohn, Paul 19242006
Cohn, Paul M.
Cohn, Paul M. (Paul Moritz)
Cohn, Paul Moritz
Cohn, Paul Moritz 19242006
Kon, P.
Kon, P. 19242006
Kon, P. M.
Kon, P. M. (Paul Moritz)
Кон, П..
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