Joachim Lambek

Joachim Lambek

Joachim Lambek (born 5 Dec 1922) is Peter Redpath Emeritus Professor of Pure Mathematics at McGill University, where he earned his Ph.D. degree in 1950 with Hans Julius Zassenhaus as advisor. He is called Jim by his friends.

Scholarly work

Lambek supervised 16 doctoral students, and had 51 doctoral descendants. He has over 100 publications listed in the Mathematical Reviews, including 6 books. His earlier work was mostly in module theory, especially torsion theories, non-commutative localization, and injective modules. One of his earliest papers, harv|Lambek|Moser|1954 proved the Lambek-Moser theorem about integer sequences. His more recent work is in pregroups and formal languages; his earliest work in this field were probably harv|Lambek|1958 and harv|Lambek|1979. He is noted, among other things, for the Lambek calculus, an effort to capture mathematical aspects of natural language syntax in logical form and a work that has been very influential in computational linguistics. He is currently working on pregroup grammar.

Selected works

Books

*Citation | last1=Fine | first1=N. J. | last2=Gillman | first2=Leonard | last3=Lambek | first3=Joachim | author3-link=Joachim Lambek | title=Rings of quotients of rings of functions | publisher=McGill University Press | id=MathSciNet | id = 0200747 | year=1966
*Citation | last1=Lambek | first1=Joachim | author1-link=Joachim Lambek | title=Lectures on rings and modules | publisher=Blaisdell Publishing | series=With an appendix by Ian G. Connell | id=MathSciNet | id = 0206032 | year=1966
*Citation | last1=Lambek | first1=Joachim | author1-link=Joachim Lambek | title=Completions of categories | publisher=Springer-Verlag | location=Berlin, New York | series=Seminar lectures given in 1966 in Zürich. Lecture Notes in Mathematics, No. 24 | id=MathSciNet | id = 0209330 | year=1966
*Citation | last1=Lambek | first1=Joachim | author1-link=Joachim Lambek | title=Torsion theories, additive semantics, and rings of quotients | publisher=Springer-Verlag | location=Berlin, New York | series=With an appendix by H. H. Storrer on torsion theories and dominant dimensions. Lecture Notes in Mathematics, Vol. 177 | id=MathSciNet | id = 0284459 | year=1971
* | year=1986
*Citation | last1=Anglin | first1=W. S. | last2=Lambek | first2=Joachim | author2-link=Joachim Lambek | title=The heritage of Thales | publisher=Springer-Verlag | location=Berlin, New York | series=Undergraduate Texts in Mathematics | isbn=978-0-387-94544-6 | id=MathSciNet | id = 1369087 | year=1995
*Citation | last1=Casadio | first1=Claudia | last2=Lambek | first2=Joachim | author2-link=Joachim Lambek | title=Computational Algebraic Approaches to Natural Language | publisher=Polimetrica | isbn=978-8876991257 | year=2008
*

Articles

* | journal=The American Mathematical Monthly | issn=0002-9890 | volume=61 | issue=7 | pages=454–458
*
*Citation | last1=Lambek | first1=Joachim | author1-link=Joachim Lambek | title=Bicommutators of nice injectives | doi=10.1016/0021-8693(72)90034-8 | id=MathSciNet | id = 0301052 | year=1972 | journal=Journal of Algebra | issn=0021-8693 | volume=21 | pages=60–73
*Citation | last1=Lambek | first1=Joachim | author1-link=Joachim Lambek | title=Localization and completion | doi=10.1016/0022-4049(72)90011-4 | id=MathSciNet | id = 0320047 | year=1972 | journal=Journal of Pure and Applied Algebra | issn=0022-4049 | volume=2 | pages=343–370
*Citation | last1=Lambek | first1=Joachim | author1-link=Joachim Lambek | title=A mathematician looks at Latin conjugation | id=MathSciNet | id = 589163 | year=1979 | journal=Theoretical Linguistics | issn=0301-4428 | volume=6 | issue=2 | pages=221–234

References

* | year=2000

External links

*
* [http://www.math.mcgill.ca/people/lambek Faculty profile of Joachim Lambek] at McGill University
* [http://www.math.mcgill.ca/triples/lambek97/Lambek.biography.html An appreciation of Jim Lambek at McGill] by Michael Barr (a biographical talk given on the occasion of his 75th birthday)
* [http://www.math.mcgill.ca/triples/Lambfest02/ Lambek festival] (80th annivarsary)


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