WorldCat Identities

Cohn, P. M. (Paul Moritz)

Overview
Works: 68 works in 520 publications in 4 languages and 8,570 library holdings
Roles: Author of introduction, Translator, Editor
Classifications: QA251.5, 512.3
Publication Timeline
Key
Publications about  P. M Cohn Publications about P. M Cohn
Publications by  P. M Cohn Publications by P. M Cohn
posthumous Publications by P. M Cohn, published posthumously.
Most widely held works by P. M Cohn
Skew fields theory of general division rings by P. M Cohn ( )
32 editions published between 1973 and 2008 in 3 languages and held by 1,751 WorldCat member libraries worldwide
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 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 little-known construction providing a source of examples and counter-examples
Universal algebra by P. M Cohn ( Book )
31 editions published between 1965 and 1981 in English and Undetermined and held by 918 WorldCat member libraries worldwide
Algebra by P. M Cohn ( Book )
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 ( Book )
24 editions published between 1971 and 1985 in English and held by 743 WorldCat member libraries worldwide
Lie groups by P. M Cohn ( Book )
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 ( Book )
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 ( Book )
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 ( Book )
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 ( Book )
10 editions published in 1991 in English and held by 306 WorldCat member libraries worldwide
Solid geometry by P. M Cohn ( Book )
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 ( Book )
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 three-volume 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 self-contained, companion volumes, covering advanced topics in algebra for second- and third-year 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 ( Book )
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 ( Book )
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 ( Book )
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 three-volume 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 self-contained, companion volumes, covering advanced topics in algebra for second- and third-year 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 ( Book )
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 ( Book )
13 editions published between 2000 and 2001 in English and held by 140 WorldCat member libraries worldwide
Algebra by P. M Cohn ( Book )
27 editions published between 1974 and 1997 in 3 languages and held by 103 WorldCat member libraries worldwide
Algebra by P. M Cohn ( Book )
13 editions published between 1989 and 1995 in English and held by 55 WorldCat member libraries worldwide
Algebra by P. M Cohn ( Book )
16 editions published between 1991 and 1996 in English and held by 53 WorldCat member libraries worldwide
Free rings by P. M Cohn ( Book )
6 editions published between 1960 and 1962 in English and Undetermined and held by 51 WorldCat member libraries worldwide
 
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Audience level: 0.67 (from 0.33 for Algebra ... to 0.93 for Free rings ...)
Alternative Names
Cohn, P. M.
Cohn, P. M. 1924-2006
Cohn, Paul 1924-2006
Cohn, Paul M.
Cohn, Paul M. (Paul Moritz)
Cohn, Paul Moritz
Cohn, Paul Moritz 1924-2006
Kon, P.
Kon, P. 1924-2006
Kon, P. M.
Kon, P. M. (Paul Moritz)
Кон, П..
Languages
English (397)
Italian (2)
French (2)
Dutch (1)
Covers