Paul Cohn

Q: What Schools Are Affiliated With Paul Cohn

Paul Cohn is affiliated with the following schools: Princeton University, University of Chicago, Queen Mary University of London, University of Manchester, Université de Nancy, University of Cambridge, Bar-Ilan University, Bedford College, Bedford, University of California, Berkeley, University College London, University of Alberta

Paul Cohn's AcademicInfluence.com Rankings

Paul Cohn

Mathematics

#1090

World Rank

#1852

Historical Rank

Measure Theory

#370

World Rank

#547

Historical Rank

mathematics Degrees

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Mathematics

Why Is Paul Cohn Influential?

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According to Wikipedia, Paul Moritz Cohn FRS was Astor Professor of Mathematics at University College London, 1986–1989, and author of many textbooks on algebra. His work was mostly in the area of algebra, especially non-commutative rings.

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Paul Cohn's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Free rings and their relations (1973) (1133)
Combinatorial Group Theory: COMBINATORIAL GROUP THEORY (1967) (1052)
Symmetric Bilinear Forms (1973) (845)
Skew Fields: Theory of General Division Rings (1995) (247)
On the free product of associative rings (1959) (240)
Bezout rings and their subrings (1968) (213)
Free Ideal Rings and Localization in General Rings (2006) (195)
QUADRATIC AND HERMITIAN FORMS OVER RINGS (1993) (193)
Skew field constructions (1973) (184)
Some remarks on the invariant basis property (1966) (181)
Morita equivalence and duality (1968) (159)
On the structure of the GL2 of a ring (1966) (156)
THE METAMATHEMATICS OF ALGEBRAIC SYSTEMS (1972) (139)
THE DIVISOR CLASS GROUP OF A KRULL DOMAIN (1974) (122)
Subalgebras of Free Associative Algebras (1964) (106)
Wreath products and p–groups (1959) (105)
Basic Algebra: Groups, Rings and Fields (2004) (104)
GROUPS ACTING ON GRAPHS (Cambridge Studies in Advanced Mathematics 17) (1990) (103)
Free ideal rings (1964) (95)
Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I (2006) (95)
On the structure of theGL2 of a ring (1966) (86)
Noncommutative unique factorization domains (1963) (86)
Quadratic Extensions of Skew Fields (1961) (82)
On the Embedding of Rings in Skew Fields (1961) (74)
COMMUTATOR THEORY FOR CONGRUENCE MODULAR VARIETIES (London Mathematical Society Lecture Note Series 125) (1988) (71)
On Homomorphic Images of Special Jordan Algebras (1954) (60)
Basic Algebra (2002) (58)
Further Algebra and Applications (2003) (56)
INTRODUCTION TO ALGEBRAIC AND ABELIAN FUNCTIONS (1974) (48)
AN INTRODUCTION TO RING THEORY (2001) (45)
Rings with a weak algorithm (1963) (43)
RINGS WITH GENERALIZED IDENTITIES (Pure and Applied Mathematics 196) By K. I. Beidar, W. S. Martindale III and A. V. Mikhalev: 522 pp., US$185.00, ISBN 0 8247 9325 0 (Dekker, 1996). (1997) (40)
On a Generalization of the Euclidean Algorithm (1961) (40)
Algebra, Volume 2 (1978) (38)
The similarity reduction of matrices over a skew field (1973) (38)
On the Construction of the Free Field (1999) (37)
On subsemigroups of free semigroups (1962) (37)
Free Associative Algebras (1969) (37)
On the free product of associative rings. III (1968) (37)
A Remark on the Birkhoff-Witt Theorem (1963) (32)
A remark on the general product of two infinite cyclic groups (1956) (31)
The skew field of rational functions on the quantum plane (1999) (31)
Inversive localization in noetherian rings (1973) (31)
Unique Factorization Domains (1973) (30)
An invariant characterization of pseudo-valuations on a field (1954) (29)
A presentation of SL 2 for Euclidean imaginary quadratic number fields (1968) (28)
On the free product of associative rings (1960) (27)
A Normal Form in Free Fields (1994) (25)
Factorization in Non-Commutative Power Series Rings (1962) (24)
Rings of zero-divisors (1958) (23)
The complement of a finitely generated direct summand of an abelian group (1956) (23)
Generalization of a Theorem of Magnus (1952) (21)
Free Ideal Rings and Localization in General Rings: Preface (2006) (20)
Free Ideal Rings and Localization in General Rings: Subject Index (2006) (20)
Progress in free associative algebras (1974) (20)
Simple rings without zero-divisors, and Lie division rings (1959) (19)
On a class of binomial extensions (1966) (19)
Central simple algebras (2003) (19)
Torsion Modules Over Free Ideal Rings (1967) (18)
Groups of order automorphisms of ordered sets (1957) (18)
Embeddings in Semigroups with One-Sided Division (1956) (17)
NUMBERS OF GENERATORS OF IDEALS IN LOCAL RINGS (1979) (17)
Dependence in rings. II. The dependence number (1969) (17)
Rings and Algebras (1977) (17)
The word problem for free fields (1973) (17)
The affine scheme of a general ring (1979) (16)
REPRESENTATIONS OF RINGS OVER SKEW FIELDS (London Mathematical Society Lecture Note Series, 92) (1985) (16)
The Centres of 2-Firs and Hereditary Rings (1971) (16)
Symmetric Elements in Free Powers of Rings (1969) (16)
Algebraic Numbers and Algebraic Functions (1991) (15)
Localization in Semifirs II (1976) (15)
Extensions of valuations on skew fields (1980) (15)
INTRODUCTION TO THE THEORY OF CATEGORIES AND FUNCTORS (1969) (14)
The word problem for free fields: a correction and an addendum (1975) (14)
INTRODUCTION TO ALGEBRA (1983) (14)
Hereditary Local Rings (1966) (14)
Puiseux's theorem revisited (1984) (14)
Algebra and Language Theory (1975) (13)
Skew fields of fractions, and the prime spectrum of a general ring (1972) (13)
A non-nilpotent Lie ring satisfying the Engel condition and a non-nilpotent Engel group (1955) (13)
Two Examples of Principal Ideal Domains (1985) (13)
On a class of simple rings (1958) (13)
Rings of Fractions (1971) (13)
Some remarks on projective-free rings (2003) (12)
Free Ideal Rings and Localization in General Rings: Generalities on rings and modules (2006) (11)
The Universal Field of Fractions of a Semifir I. Numerators and Denominators (1982) (11)
THE AUTOMORPHISM GROUP OF THE FREE ALGEBRA OF RANK TWO (2002) (10)
Localization in general rings a historical survey (2002) (10)
IDENTITIES OF ALGEBRAS AND THEIR REPRESENTATIONS (Translations of Mathematical Monographs 138) (1996) (10)
On the law of nullity (1982) (9)
The free product of skew fields (1973) (8)
The universal skew field of fractions ofa tensor product of free rings (1997) (8)
Elements of Linear Algebra (1994) (8)
A remark on matrix rings over free ideal rings (1966) (8)
On central extensions of skew fields (1980) (8)
FINITE SEMIGROUPS AND UNIVERSAL ALGEBRA (World Scientific Series in Algebra 3) (1997) (7)
Presentations of skew fields. I. Existentially closed skew fields and the Nullstellensatz (1975) (7)
From Hermite rings to Sylvester domains (1999) (7)
Stable Structure of Noncommutative Noetherian Rings (2003) (7)
The Universal Field of Fractions of a Semifir II. The Depth (1985) (6)
Factorization in general rings and strictly cyclic modules. (1969) (6)
Automorphisms of Two-Dimensional Linear Groups over Euclidean Domains (1969) (6)
On n-simple rings (2005) (6)
Reversible Rings (1999) (6)
AUTOMORPHISMS AND DERIVATIONS OF ASSOCIATIVE RINGS (1992) (6)
On a class of rings with inverse weak algorithm (1970) (6)
Lectures on Rings and Modules (1972) (5)
Embeddings in Sesquilateral Division Semigroups (1956) (5)
The divisor group of a fir (1982) (5)
Rings with a Transfinite Weak Algorithm (1969) (4)
On the decomposition of a field as a tensor product (1979) (4)
The Universal Field of Fractions of a Semifir: III. Centralizers and Normalizers (1985) (4)
Errata to: “Noncommutative unique factorization domains” (1965) (3)
Another Criterion for a Ring to be Projective‐Free (2005) (3)
Bounded and invariant elements in 2-firs (1971) (3)
Category Theory and Universal Algebra (1981) (3)
Prime rings with involution whose symmetric zero-divisors are nilpotent (1973) (3)
Cyclic Artinian Modules without a Composition Series (1997) (3)
Two Embedding Theorems for Jordan Algebras (1959) (3)
On the Group of Symplectic Matrices Over a Free Associative Algebra (2001) (3)
Correction to “Puiseux's theorem revisited” (1988) (3)
1644. Tests for divisibility (1943) (3)
Presidential Address: Fractions (1984) (2)
Corrections to: On the free product of associative rings. III (1968) (2)
TOPOLOGICAL FIELDS: (Notas des Matematica 157) (1990) (2)
K2 OF POLYNOMIAL RINGS AND OF FREE ALGEBRAS (1972) (2)
A THEOREM ON THE STRUCTURE OF TENSOR-SPACES (1952) (2)
Correction to "The universal skew field of fractions of a tensor product of free rings" (Colloq. Math. 72 (1997), 1-8) (1998) (2)
MULTIPLICATIVE IDEAL THEORY (1974) (2)
Skew fields with involution having only one unitary element (1979) (1)
The Normal Basis Theorem for Skew Field Extensions (1980) (1)
A CONSTRUCTION OF SIMPLE PRINCIPAL RIGHT IDEAL DOMAINS (2010) (1)
A REMARK ON POWER SERIES RINGS (1992) (1)
Correction: the Embedding of Radical Rings in Simple Radical Rings (1972) (1)
JORDAN ALGEBRAS AND ALGEBRAIC GROUPS (1974) (1)
On Semifir Constructions (1980) (1)
Correction to “Unique Factorization Domains” (1973) (1)
Biochemistry and Heredity (1960) (1)
Finite subgroups of PGL2(K) and their invariants (1979) (1)
On copowers of an ordered skew field (1985) (1)
Lattices and Categories (2003) (1)
Principles of Non-Commutative Algebraic Geometry (1985) (1)
Introduction to the Theory of Formal Groups (1975) (1)
A theorem on infinite groups (1957) (1)
FIELDS AND RINGS (1970) (1)
Torsion modules and the factorization of matrices (1982) (1)
Further Group Theory (2003) (1)
On the Construction of Sylvester Domains (2000) (1)
LIE GROUPS, LIE ALGEBRAS (1970) (1)
Review: N. L. Alling, Foundations of analysis over surreal number fields (1989) (1)
Advanced Problems: 5636-5643 (1968) (1)
Torsion and protorsion modules over free ideal rings (1970) (1)
Analysis of Symmetry (1962) (1)
Distributive factor lattices in free rings (1989) (1)
TOPOLOGY OF LIE GROUPS, VOLUMES I AND II (1992) (1)
NONCOMMUTATIVE NOETHERIAN RINGS (1988) (1)
Free Ideal Rings and Localization in General Rings: Principal ideal domains (2006) (0)
Factorization in semifirs (2006) (0)
Applications II. Calculus, mechanics, economics (1994) (0)
On the Structure of Sesquilateral Division Semigroups (1958) (0)
On skew field coproducts with a finite extension (1996) (0)
Infinite Field Extensions (2003) (0)
One-sided localization in rings (1993) (0)
Skew fields: Standard notations (1995) (0)
On a theorem from Skew field constructions (1982) (0)
Book Review: Automorphisms and derivations of associative rings (1993) (0)
RINGS, MODULES AND ALGEBRAS (1973) (0)
LINEAR ALGEBRA AND GEOMETRY—A SECOND COURSE (1971) (0)
Axiomatic Model Classes (1981) (0)
Algebra : volume 3 / P.M. Cohn (1991) (0)
Problems for Solution: 4971-4976 (1961) (0)
NOTES ON HOMOLOGICAL ALGEBRAS (1973) (0)
Two Topics In Ring Theory (2010) (0)
H. Braun, and M. Koecher, Jordan-Algebren (Springer-Verlag, Berlin-Heidelberg-New York, 1966), xiv + 357 pp., DM 48. (1968) (0)
Free Ideal Rings and Localization in General Rings: Bibliography and author index (2006) (0)
Firs, semifirs and the weak algorithm (2006) (0)
Coproducts of fields (1995) (0)
Problems for Solution: 5044-5050 (1962) (0)
Representation theory of finite groups (2003) (0)
A Countably Generated Group Which Cannot Be Covered By Finite Permutable Subsets (1954) (0)
A remark on the quasi-inverse of a product (2003) (0)
Algebraic numbers and algebraic funtions / P.M. Cohn (1991) (0)
Problems for Solution: 4788-4792 (1958) (0)
Centralizers and subalgebras (2006) (0)
Miscellaneous Further Results (1981) (0)
Skew fields: Valuations and orderings on skew fields (1995) (0)
Journal of Algebra Algebra Editor-in-chief: Graham Higman Contents of Volume 70 (0)
Rings and Modules (2003) (0)
Advanced Problems: 5916-5921 (1973) (0)
Skew fields: General skew fields (1995) (0)
Advanced Problems: 6393-6398 (1982) (0)
FINITE-DIMENSIONAL DIVISION ALGEBRAS OVER FIELDS By Nathan Jacobson: 278 pp., DM.98.–, ISBN 3 540 57029 2 (Springer, 1996). (1998) (0)
Skew fields: Rational relations and rational identities (1995) (0)
TOPICS IN NONCOMMUTATIVE GEOMETRY (1992) (0)
Review: R. S. Pierce, Introduction to the theory of abstract algebras (1969) (0)
The Solution of a System of Equations: the Regular Case (1958) (0)
Lectures on algebraic numbers and algebraic functions (1969) (0)
Free Ideal Rings and Localization in General Rings: Skew fields of fractions (2006) (0)
THE STRUCTURE OF LIE GROUPS (1968) (0)
A FIRST COURSE OF HOMOLOGICAL ALGEBRA (1975) (0)
THE RINGS OF DIMENSION TWO (1977) (0)
Rings with a distributive factor lattice (2006) (0)
Rings, Modules, Algebras (2002) (0)
Noetherian rings and polynomial identities (2003) (0)
LECTURES ON LIE GROUPS (1970) (0)
Israel Nathan Herstein (1989) (0)
GEOMETRIC ALGEBRA OVER LOCAL RINGS (1977) (0)
AN INTRODUCTION TO NONASSOCIATIVE ALGEBRAS (1968) (0)
ON STJBSEMIGROUPS OF FREE SEMIGROUPS (2010) (0)
Correction to: “A construction of simple principal right ideal domains” [Proc. Amer. Math. Soc. 66 (1977), no. 2, 217–222;\ MR 56 #12058] (1977) (0)
Advanced Problems: 5922-5927 (1973) (0)
Books in review (1984) (0)
Non-commutative localization (2002) (0)
Valuations on free fields (1988) (0)
Nathan Jacobson (1910–1999) (2001) (0)
Languages and Automata (2003) (0)
Skew polynomial rings and power series rings (1995) (0)
Terminology, notation and conventions used (2006) (0)
PROCEEDINGS OF THE CONFERENCE ON CATEGORICAL ALGEBRA (LA JOLLA 1965) (1968) (0)
The Embedding of Lie Algebras in Restricted Lie Algebras (1964) (0)
Algebraic function fields in two variables (1991) (0)
Fields with valuations (1991) (0)
Relational Structures and Models (1981) (0)
Coordinate transformations and linear mappings (1994) (0)
Model Theory and Universal Algebra (1981) (0)
Polynomial and Power Series Rings. Free Algebras, Firs and Semifirs (1996) (0)
NONCOMMUTATIVE UNIQUE FACTORIZATION DOMAINSO (2010) (0)
BASIC ALGEBRAIC GEOMETRY (1976) (0)
MATHEMATICAL MODELS IN LINGUISTICS (1973) (0)
Rings without finiteness assumption (2003) (0)
Review: Gerard Lallement, Semigroups and combinatorial applications (1980) (0)
Quadratic Forms and Ordered Fields (2003) (0)
AN APPROACH TO ALGEBRAIC K‐THEORY (1983) (0)
Remarks on Notation and Terminology (2000) (0)
Universal Algebra (1965) (0)
STUDIES IN MODERN ALGEBRA (1964) (0)
Solid geometry / P.M. Cohn (1961) (0)
Books in review (1985) (0)
Rings and their fields of fractions (1995) (0)
Linear Algebras and Artinian Rings (2000) (0)
Sets and Mappings (1981) (0)
Free Ideal Rings and Localization in General Rings: Appendix (2006) (0)
Free Ideal Rings and Localization in General Rings: List of special notation (2006) (0)
INTRODUCTION TO MATHEMATICAL LINGUISTICS (1973) (0)
ARTHUR HAROLD STONE (1916–2000) (2002) (0)
Skew fields: Equations and singularities (1995) (0)
Skew fields: Finite skew field extensions and applications (1995) (0)

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What Schools Are Affiliated With Paul Cohn?

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