I am a Teacher who started creating online content for my students from 2016 so that they can get access to free knowledge online.
Joachim Lambek
Updated on
Edit
Like
Comment
Share
Sign in
Citizenship
Canadian
Education
McGill University
Institutions
McGill University
Fields
Mathematics
Name
Joachim Lambek
Doctoral advisor
Hans Zassenhaus
Role
Professor of mathematics
Born
December 5, 1922
Leipzig, Germany (
1922-12-05
)
Known for
Lambek–Moser theorem, Lambek calculus
Died
June 23, 2014, Montreal, Canada
People also search for
Leonard Gillman, W. S Anglin, Hans Zassenhaus, Nathan Fine
Books
Introduction to higher order cat, From Word to Sentence, Torsion Theories - Additive, Completions of Categorie, Lectures on Rings and Mod
Joachim "Jim" Lambek (5 December 1922 – 23 June 2014) was Peter Redpath Emeritus Professor of Pure Mathematics at McGill University, where he earned his Ph.D. degree in 1950 with Hans Zassenhaus as advisor.
Lambek supervised 16 doctoral students, and has 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, 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 Lambek (1958) and 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. His last works were on pregroup grammar.
Books
Fine, N. J.; Gillman, Leonard; Lambek, Joachim (1966), Rings of quotients of rings of functions, McGill University Press, MR 0200747
Lambek, Joachim (1966), Lectures on rings and modules, With an appendix by Ian G. Connell, Blaisdell Publishing, MR 0206032; 3rd edition. 2009.
Lambek, Joachim (1966), Completions of categories, Seminar lectures given in 1966 in Zürich. Lecture Notes in Mathematics, No. 24, Berlin, New York: Springer-Verlag, MR 0209330
Lambek, Joachim (1971), Torsion theories, additive semantics, and rings of quotients, With an appendix by H. H. Storrer on torsion theories and dominant dimensions. Lecture Notes in Mathematics, Vol. 177, Berlin, New York: Springer-Verlag, MR 0284459
Lambek, J.; Scott, P.J. (1986), Introduction to Higher Order Categorical Logic, Cambridge University Press, ISBN 978-0-521-35653-4, MR 856915
Anglin, W. S.; Lambek, Joachim (1995), The heritage of Thales, Undergraduate Texts in Mathematics, Berlin, New York: Springer-Verlag, ISBN 978-0-387-94544-6, MR 1369087
Casadio, Claudia; Lambek, Joachim (2008), Computational Algebraic Approaches to Natural Language, Polimetrica, ISBN 978-88-7699-125-7
Lambek, J. (2008), From word to sentence: a computational algebraic approach to grammar, Polimetrica, ISBN 978-88-7699-117-2
Articles
Lambek, Joachim; Moser, L. (1954), "Inverse and Complementary Sequences of Natural Numbers", The American Mathematical Monthly, The American Mathematical Monthly, Vol. 61, No. 7, 61 (7): 454–458, ISSN 0002-9890, JSTOR 2308078, MR 0062777, doi:10.2307/2308078
Lambek, J. (1958), "The Mathematics of Sentence Structure", The American Mathematical Monthly, The American Mathematical Monthly, Vol. 65, No. 3, 65 (3): 154–170, ISSN 0002-9890, JSTOR 1480361, doi:10.2307/2310058
Lambek, Joachim (1972), "Bicommutators of nice injectives", Journal of Algebra, 21: 60–73, ISSN 0021-8693, MR 0301052, doi:10.1016/0021-8693(72)90034-8
Lambek, Joachim (1972), "Localization and completion", Journal of Pure and Applied Algebra, 2 (4): 343–370, ISSN 0022-4049, MR 0320047, doi:10.1016/0022-4049(72)90011-4
Lambek, Joachim (1979), "A mathematician looks at Latin conjugation", Theoretical Linguistics, 6 (2): 221–234, ISSN 0301-4428, MR 589163, doi:10.1515/thli.1979.6.1-3.221
