Cohn, P. M. (Paul Moritz)
Overview
Works:  70 works in 579 publications in 6 languages and 8,806 library holdings 

Roles:  Author, Editor, Author of introduction, Translator 
Classifications:  QA251.5, 512 
Publication Timeline
.
Most widely held works by
P. M Cohn
Universal algebra by
P. M Cohn(
Book
)
43 editions published between 1965 and 1981 in 3 languages and held by 916 WorldCat member libraries worldwide
43 editions published between 1965 and 1981 in 3 languages and held by 916 WorldCat member libraries worldwide
Algebra by
P. M Cohn(
Book
)
79 editions published between 1974 and 1995 in 3 languages and held by 908 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
79 editions published between 1974 and 1995 in 3 languages and held by 908 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
Skew field constructions by
P. M Cohn(
Book
)
37 editions published between 1973 and 2008 in 3 languages and held by 851 WorldCat member libraries worldwide
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. The treatment of equations over skew fields has been simplified and extended by the use of matrix methods, and the beginnings of noncommutative algebraic geometry are presented, with a precise account of the problems that need to be overcome for a satisfactory theory. A separate chapter describes valuations and orderings on skew fields, with a construction applicable to free fields. Numerous exercises test the reader's understanding, presenting further aspects and open problems in concise form, and notes and comments at the ends of chapters provide historical background
37 editions published between 1973 and 2008 in 3 languages and held by 851 WorldCat member libraries worldwide
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. The treatment of equations over skew fields has been simplified and extended by the use of matrix methods, and the beginnings of noncommutative algebraic geometry are presented, with a precise account of the problems that need to be overcome for a satisfactory theory. A separate chapter describes valuations and orderings on skew fields, with a construction applicable to free fields. Numerous exercises test the reader's understanding, presenting further aspects and open problems in concise form, and notes and comments at the ends of chapters provide historical background
Free rings and their relations by
P. M Cohn(
Book
)
32 editions published between 1971 and 1985 in English and Russian and held by 745 WorldCat member libraries worldwide
32 editions published between 1971 and 1985 in English and Russian and held by 745 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 638 WorldCat member libraries worldwide
39 editions published between 1957 and 2009 in English and Undetermined and held by 638 WorldCat member libraries worldwide
Introduction to ring theory by
P. M Cohn(
Book
)
20 editions published between 2000 and 2004 in English and Undetermined and held by 531 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."Jacket
20 editions published between 2000 and 2004 in English and Undetermined and held by 531 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."Jacket
Linear equations by
P. M Cohn(
Book
)
38 editions published between 1958 and 1980 in 3 languages and held by 393 WorldCat member libraries worldwide
38 editions published between 1958 and 1980 in 3 languages and held by 393 WorldCat member libraries worldwide
Elements of linear algebra by
P. M Cohn(
Book
)
13 editions published between 1994 and 1999 in English and held by 347 WorldCat member libraries worldwide
13 editions published between 1994 and 1999 in English and held by 347 WorldCat member libraries worldwide
Solid geometry by
P. M Cohn(
Book
)
22 editions published between 1961 and 1968 in English and held by 306 WorldCat member libraries worldwide
22 editions published between 1961 and 1968 in English and held by 306 WorldCat member libraries worldwide
Algebraic numbers and algebraic functions by
P. M Cohn(
Book
)
10 editions published in 1991 in English and held by 289 WorldCat member libraries worldwide
10 editions published in 1991 in English and held by 289 WorldCat member libraries worldwide
Basic algebra : groups, rings, and fields by
P. M Cohn(
Book
)
19 editions published between 2002 and 2013 in English and held by 247 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
19 editions published between 2002 and 2013 in English and held by 247 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(
Book
)
7 editions published in 1969 in English and Italian and held by 223 WorldCat member libraries worldwide
7 editions published in 1969 in English and Italian and held by 223 WorldCat member libraries worldwide
Further algebra and applications by
P. M Cohn(
Book
)
17 editions published between 2003 and 2013 in English and held by 210 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
17 editions published between 2003 and 2013 in English and held by 210 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
Free ideal rings and localization in general rings by
P. M Cohn(
Book
)
12 editions published between 2005 and 2006 in English and held by 190 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."Jacket
12 editions published between 2005 and 2006 in English and held by 190 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."Jacket
Classic algebra by
P. M Cohn(
Book
)
15 editions published between 2000 and 2001 in English and held by 144 WorldCat member libraries worldwide
15 editions published between 2000 and 2001 in English and held by 144 WorldCat member libraries worldwide
Morita equivalence and duality by
P. M Cohn(
Book
)
20 editions published between 1965 and 1976 in English and Undetermined and held by 143 WorldCat member libraries worldwide
20 editions published between 1965 and 1976 in English and Undetermined and held by 143 WorldCat member libraries worldwide
Algebra by
P. M Cohn(
Book
)
31 editions published between 1974 and 1997 in 3 languages and held by 106 WorldCat member libraries worldwide
31 editions published between 1974 and 1997 in 3 languages and held by 106 WorldCat member libraries worldwide
Algebra by
P. M Cohn(
Book
)
15 editions published between 1979 and 1995 in English and held by 59 WorldCat member libraries worldwide
15 editions published between 1979 and 1995 in English and held by 59 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 50 WorldCat member libraries worldwide
6 editions published between 1960 and 1962 in English and Undetermined and held by 50 WorldCat member libraries worldwide
Lectures on general algebra by
A. G Kurosh(
Book
)
3 editions published in 1965 in English and held by 28 WorldCat member libraries worldwide
Lectures in General Algebra is a translation from the Russian and is based on lectures on specialized courses in general algebra at Moscow University
3 editions published in 1965 in English and held by 28 WorldCat member libraries worldwide
Lectures in General Algebra is a translation from the Russian and is based on lectures on specialized courses in general algebra at Moscow University
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Associated Subjects
Algebra Algebra, Abstract Algebra, Universal Algebraic fields Algebraic functions Algebraic number theory Algebraic topology 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 Rings (Algebra) Topology Vector analysis
Alternative Names
Cohn, P. M.
Cohn, P. M. 19242006
Cohn, Paul 19242006
Cohn, Paul M.
Cohn, Paul Moritz
Cohn, Paul Moritz 19242006
Kon, P.
Kon, P. 19242006
Kon, P. M.
Kon, P. M. (Paul Moritz)
Paul Cohn britischer Mathematiker
Paul Cohn britisk matematikar
Paul Cohn britisk matematiker
Paul Cohn brittisk matematiker
Paul Cohn mathmaticien britannique
Paul Moritz Cohn
Кон, П..
Пол Кон английский алгебраист
פול כהן
پل کوهن ریاضیدان بریتانیایی
保羅孔恩
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