Joachim Lambek

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Joachim Lambek is affiliated with the following schools: McGill University, University of Manchester

Joachim Lambek's AcademicInfluence.com Rankings

Joachim Lambek

Mathematics

#800

World Rank

#1436

Historical Rank

Algebra

#26

World Rank

#52

Historical Rank

Measure Theory

#423

World Rank

#611

Historical Rank

mathematics Degrees

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Mathematics

Why Is Joachim Lambek Influential?

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According to Wikipedia, Joachim "Jim" Lambek was a Canadian mathematician. He was Peter Redpath Emeritus Professor of Pure Mathematics at McGill University, where he earned his PhD degree in 1950 with Hans Zassenhaus as advisor.

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Joachim Lambek'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

The Mathematics of Sentence Structure (1958) (1580)
Introduction to higher order categorical logic (1986) (1529)
Lectures on Rings and Modules (1976) (759)
On the Calculus of Syntactic Types (1961) (314)
Deductive systems and categories II. Standard constructions and closed categories (1969) (258)
A fixpoint theorem for complete categories (1968) (228)
Diagram chasing in Mal'cev categories (1991) (199)
On the Representation of Modules by Sheaves of Factor Modules (1971) (198)
Type Grammar Revisited (1997) (175)
Torsion Theories, Additive Semantics, and Rings of Quotients (1971) (156)
Deductive systems and categories (1968) (144)
Rings of quotients of rings of functions (1965) (133)
Categorial and Categorical Grammars (1988) (102)
The torsion theory at a prime ideal of a right Noetherian ring (1973) (102)
How comprehensive is the category of semigroups (1969) (94)
What is the world of mathematics? (2004) (93)
How to Program an Infinite Abacus (1961) (77)
Deductive systems and categories III. Cartesian closed categories, intuitionist propositional calculus, and combinatory logic (1972) (75)
A Generalized Ring of Quotients I (1958) (69)
Functional completeness of cartesian categories (1974) (66)
Type Grammars as Pregroups (2001) (55)
Goursats Theorem and the Zassenhaus Lemma (1958) (55)
If hamilton had prevailed: quaternions in physics (1995) (54)
Free compact 2-categories (2007) (54)
An Algebraic Approach to French Sentence Structure (2001) (50)
On Utumi's Ring of Quotients (1963) (46)
An Algebraic Analysis of Clitic Pronouns in Italian (2001) (44)
Completions of Categories (1966) (44)
Intuitionist type theory and the free topos (1980) (38)
The heritage of Thales (1995) (36)
A Tale of Four Grammars (2002) (36)
Bilinear logic in algebra and linguistics (1995) (36)
Localization and completion (1972) (33)
Intuitionistic Propositional Calculus (1995) (32)
Contributions to a Mathematical Analysis of the English Verb-phrase (1959) (32)
Cartesian Closed Categories and Typed Lambda- calculi (1985) (32)
INJECTIVE HULLS OF PARTIALLY ORDERED MONOIDS (2012) (31)
A Computational Algebraic Approach to English Grammar (2004) (31)
A Module is Flat if and Only if its Character Module is Injective (1964) (29)
Inverse and Complementary Sequences of Natural Numbers (1954) (28)
Localization of Right Noetherian Rings at Semiprime Ideals (1974) (28)
From types to sets (1980) (27)
The Immersibility of a Semigroup into a Group (1951) (25)
On the Ring of Quotients of a Boolean Ring (1959) (22)
Are the traditional philosophies of mathematics really incompatible? (1994) (22)
On the Structure of Semi-Prime Rings and their Rings of Quotients (1961) (22)
Cut Elimination for Classical Bilinear Logic (1995) (21)
Localization and sheaf reflectors (1975) (21)
The Influence of Heraclitus on Modern Mathematics (1981) (20)
Some lattice models of bilinear logic (1995) (20)
TYPE GRAMMAR MEETS GERMAN WORD ORDER (2000) (20)
Localization at injectives in complete categories (1973) (20)
Localization at epimorphisms and quasi-injectives (1976) (18)
On Some two way Classifications of Integers (1959) (18)
A Generalized Ring of Quotients II (1958) (18)
A general Stone-Gel’fand duality (1979) (18)
Goursat's Theorem and Homological Algebra (1964) (18)
ON THE DISTRIBUTION OF PYTHAGOREAN TRIANGLES (1955) (16)
Pregroups and natural language processing (2006) (15)
On Integers n Relatively Prime To ƒ(n) (1955) (15)
On the unity of algebra and logic (1988) (14)
Pregroups: A New Algebraic Approach to Sentence Structure (2000) (14)
An algebraic approach to arabic sentence structure (2001) (14)
Compact Monoidal Categories from Linguistics to Physics (2010) (14)
Diagram chasing in ordered categories with involution (1999) (13)
Least fixpoints of endofunctors of cartesian closed categories (1993) (12)
Linear Diophantine Equations (1995) (12)
Logic and Grammar (2012) (12)
Intuitionist type theory and foundations (1981) (12)
Two Sheaf Representations of Elementary Toposes. (1982) (12)
Exploring Feature Agreement in French with Parallel Pregroup Computations (2010) (12)
Arithmetical Functions and Distributivity (1966) (12)
An Algebraic Approach to the German Noun Phrase (2001) (11)
On monotone multiplicative functions (1953) (11)
Pregroup Grammars and Chomsky’s Earliest Examples (2008) (11)
DEDUCTIVE SYSTEMS AND CATEGORIES IN LINGUISTICS (1999) (11)
Some Galois Connections in Elementary Number Theory (1994) (11)
Bicommutators of nice injectives (1972) (11)
Mathematics and the mind (2001) (10)
From word to sentence: a pregroup analysis of the object pronoun who(m) (2007) (9)
Philosophical reflections on the foundations of mathematics (1991) (9)
A PRODUCTION GRAMMAR FOR HINDI KINSHIP TERMINOLOGY (1983) (9)
A rewrite System of the Western Pacific: LOUNSBURY’S ANALYSIS OF TROBRIAND KINSHIP TERMINOLOGY (1995) (8)
Completions of Categories: Seminar Lectures Given 1966 in Zürich (1966) (8)
Completions and classical localizations of right Noetherian rings. (1973) (8)
An algebraic approach to the german sentence (2003) (8)
Localization and Duality in Additive Categories Theorem 1.1. Let a @bulletb Be a Pair of Adjoint Functors with Adjunctions (7)
Biquaternion vectorfields over Minkowski space (1950) (7)
Production grammars revisited (1993) (7)
Iterated Galois Connections in Arithmetic and Linguistics (2004) (7)
On the ubiquity of Mal''cev operations (1989) (6)
A sup-complete sup-dense, sup-preserving extension (1966) (6)
Localization and Codensity Triples (1974) (6)
What is a deductive system (1994) (6)
Four-Vector Representation of Fundamental Particles (2000) (6)
THE NOVEMBER MEETING IN LOS ANGELES (2007) (5)
Additive Duality at Cosmall Injectives (1977) (5)
An exposition of torsion theories (1971) (5)
On the Ring of Quotients of a Noetherian Ring (1965) (5)
On some connections between logic and category theory (1989) (5)
The Cubic and Quartic Equations (1995) (5)
Reflections on the Categorical Foundations of Mathematics (2011) (5)
A PRODUCTION GRAMMAR FOR ENGLISH KINSHIP TERMINOLOGY (1986) (5)
From Rules of Grammar to Laws of Nature (2014) (4)
Programs, grammars and arguments: a personal view of some connections between computation, language and logic (1993) (4)
Fixpoints Revisited (1989) (4)
A PRODUCTION GRAMMAR FOR SANSKRIT KINSHIP TERMINOLOGY (1992) (4)
Invisible endings of english adjectives and nouns (2004) (4)
Should Pregroup Grammars be Adorned with Additional Operations? (2007) (4)
Some aspects of categorical logic (1995) (4)
Grammar as mathematics (1989) (4)
Proof of Gödel’s Incompleteness Theorem (1995) (4)
What Is a Calculation (1995) (3)
Rational Analogues of the Logarithm Function (1956) (3)
Independence of premisses and the free topos (1981) (3)
New Proofs of Some Intuitionistic Principles (1983) (3)
Multiplicative Ideal Theory and Rings of Quotients (1963) (3)
On the Nominalistic Interpretation of Natural Languages (1995) (3)
Gödel’s Theorems (1995) (3)
Completions of categories of modules (1966) (3)
Relations in operational categories (1997) (3)
The Fundamental Theorem of Algebra (1995) (2)
Mathematics in the Renaissance (1995) (2)
A computational approach to arabic conjugation (2001) (2)
The syntax–semantics interface and the origins of philosophy (2009) (2)
An algebraic approach tu Turkish syntax and morphology (2004) (1)
Algebraic aspects of topos theory (1981) (1)
The Law of Quadratic Reciprocity (1995) (1)
Review: Yehoshua Bar-Hillel, Language and Information (1965) (1)
Plato and Aristotle on Mathematics (1995) (1)
An Exactification of the Monoid of Primitive Recursive Functions (2005) (1)
Remarks on the history of categorial grammar (1)
Scales of Notation (1995) (1)
The mental lexicon and subconscious calculation (2012) (1)
QUATERNIONS AND THREE TEMPORAL DIMENSIONS (2014) (1)
Torsion ideals and rings of quotients (1971) (1)
Some Associative Operations on Integers (1955) (1)
Relations old and new (2001) (1)
Mathematics in Athens (1995) (1)
Pythagoras and His School (1995) (1)
Binary Relations in the Social and Mathematical Sciences (1999) (1)
Toposes are monadic over categories (1982) (1)
ON THE REPRESENTATION OF MODULES BY SHEAVES OF MODULES OF QUOTIENTS (1972) (1)
Remarks on Colocalization and Equivalence (1983) (1)
An equational variant of Lawvere's natural numbers object (2000) (1)
Letters to the editor (1996) (0)
A Natural Transformation between Vector Spaces (1995) (0)
Renaissance Mathematics Continued (1995) (0)
Došen Kosta. Deductive completeness. The bulletin of symbolic logic, vol. 2 (1996), pp. 243–283. (1998) (0)
Local Rings, by Masayoshi Nagata. Interscience Tract Number 13, New York, 1962. xiii + 234 pages. $11.00. (1964) (0)
On products of full linear rings (2022) (0)
The basic laws of arithmetic, by Gottlob Frege. Translated and edited by Montgomery Furth. University of California Press, 1967. lxiii + 144 pages. Paperback $1.95. (1968) (0)
Quaternions Applied to Number Theory (1995) (0)
The completion when A is not small (1966) (0)
Alexandria from 200 BC to 500 AD (1995) (0)
The Impossibility of Solving the Classical Problems (1995) (0)
Completions of groups (1966) (0)
Limit preserving functors (1966) (0)
Logic and Grammar (2012) (0)
Recursive and Recursively Enumerable Sets (1995) (0)
More about Gödel’s Theorems (1995) (0)
More about Mesopotamian Mathematics (1995) (0)
Problems for Solution: E1511-E1515 (1962) (0)
Intuitionistic Predicate Calculus (1995) (0)
From Frege to Gödel, edited by Jean van Heijenoort. (A source book in mathematical logic, 1879-1931). Cambridge, Mass., Saunders of Toronto, 1967. x+660 pages. $18.50. (1968) (0)
Sumerian-Babylonian Mathematics (1995) (0)
Mathematics in Islamic Countries (1995) (0)
Chapter 8 Relations Old and New (2012) (0)
The Seventeenth Century in France (1995) (0)
How to Interpret Intuitionistic Logic (1995) (0)
Theorems without properness conditions (1966) (0)
A six-vector classification of fundamental particles (0)
New Beginnings in Europe (1995) (0)
The Seventeenth Century Continued (1995) (0)
The Real Numbers (1995) (0)
The relationship between different forms of completeness (1966) (0)
From Heraclitus to Democritus (1995) (0)
An introduction to the theory of numbers, by Ivan Niven and Herbert S. Zuckerman. John Wiley and Sons, New York, 1966. 2nd edition. 280 pages. $7.95. (1968) (0)
Management and the Computer of the Future, M. Greenberger (editor). M. I. T. Press and Wiley, Boston, 1962. xxvi + 340 pages. $6.00. (1964) (0)
Constructions with Ruler and Compass (1995) (0)
Quaternions Applied to Physics (1995) (0)
Capulet semantics and the prehistory of mathematics and science (0)
The Butterfly and the Serpent (2017) (0)
Sheaf Representations and Duality in Logic (2020) (0)
Quaternions in Quantum Mechanics (1995) (0)
The Lorentz category in special relativity (2011) (0)
Raoul Bott, McGill, the 1940s (2010) (0)
Completions of categories of algebras (1966) (0)
Natural Numbers (Peano’s Approach) (1995) (0)
The Fundamental Theorem of Arithmetic (1995) (0)
Review: Kosta Dosen, Deductive Completeness (1998) (0)
Graphs and Categories (1995) (0)
536 Puzzles and curious problems, by Henry E. Dudenay Saunders of Toronto Ltd., 1967. 428 pages. $9.75. (1968) (0)
Logic from Aristotle to Russell (1995) (0)
CA TEGORIAL AND CA TEGORICAL GRAMM ARS (1988) (0)
An Extension of the Formulas-as-Types Paradigm (1997) (0)
Alexandria from 300 BC to 200 BC (1995) (0)
Intuitionistic Type Theory (1995) (0)
Six-Dimensional Lorentz Category (2018) (0)
Non-Euclidean Geometry and Hilbert’s Axioms (1995) (0)
Some New Books on Logic (1969) (0)
Problems for Solution: 4723-4727 (1957) (0)
Infinitistic methods, Proceedings of the symposium on foundations of mathematics, Warsaw 1959. Pergamon Press. 362 pages. L5 net. (1963) (0)
The Crisis of Incommensurables (1995) (0)
2732. On relatively prime sequences (1957) (0)
Relations old and new (invited paper) (1998) (0)
The Dawn of Greek Mathematics (1995) (0)
The Number System (1995) (0)
Generating and sup-dense subcategories (1966) (0)
Pythagorean Triangles and Fermat’s Last Theorem (1995) (0)
Problems for Solution: E1091-E1095 (1953) (0)
Mathematics in China and India (1995) (0)
Counting Ambiguous Meanings (2008) (0)

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