Siddhesh Joshi (Editor)

Nathan Jacobson

Updated on
Edit
Like
Comment
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit
Nationality
  
American

Fields
  
Mathematics

Role
  
Mathematician

Name
  
Nathan Jacobson


Nathan Jacobson wwweilatgordinlevitancomwarsawwpixstories04

Born
  
October 5, 1910Warsaw, Congress Poland, Russian Empire (
1910-10-05
)

Institutions
  
U.N.C. at Chapel HillJohns Hopkins UniversityYale University

Alma mater
  
Princeton University (Ph.D. 1934)University of Alabama (B.S. 1930)

Doctoral students
  
Georgia BenkartCharles W. CurtisCraig HunekeGeorge SeligmanDaya-Nand VermaMaria Wonenburger

Known for
  
Mathematics textbooks; Jacobson–Bourbaki theorem; Jacobson's conjecture; Jacobson density theorem; Jacobson radical; Jacobson ring

Died
  
December 5, 1999, Hamden, Connecticut, United States

Education
  
Princeton University (1934), University of Alabama

Awards
  
Guggenheim Fellowship for Natural Sciences, US & Canada

People also search for
  
Joseph Wedderburn, Georgia Benkart, Emmy Noether

Books
  
Basic algebra, Basic Algebra II: Second E, Lectures in abstract algebra, Structure and Represen, The Theory of Rings

Doctoral advisor
  
Joseph Wedderburn

Nathan jacobson


Nathan Jacobson (October 5, 1910 – December 5, 1999) was an American mathematician.

Contents

Nathan Jacobson Nathan Jacobson

Nathan Jacobson 100 Days Fulbright Video


Biography

Born Nachman Arbiser in Warsaw, Jacobson emigrated to America with his family in 1918. Recognized as one of the leading algebraists of his generation, he wrote more than a dozen standard textbooks. He graduated from the University of Alabama in 1930 and was awarded a doctorate in mathematics from Princeton University in 1934. While working on his thesis, Non-commutative polynomials and cyclic algebras, he was advised by Joseph Wedderburn.

Jacobson taught and researched at Bryn Mawr College (1935–1936), the University of Chicago (1936–1937), the University of North Carolina at Chapel Hill (1937–1943), and Johns Hopkins University (1943–1947) before joining Yale University in 1947. He remained at Yale until his retirement.

He was a member of the National Academy of Sciences and the American Academy of Arts and Sciences. He served as president of the American Mathematical Society from 1971 to 1973, and was awarded their highest honour, the Leroy P. Steele prize for lifetime achievement, in 1998. He was also vice-president of the International Mathematical Union from 1972 to 1974.

Books

  • Collected Mathematical Papers, 3 vols., 1989
  • The theory of Rings. 1943
  • Lectures in Abstract Algebra. 3 vols., Van Nostrand 1951, 1953, 1964, Reprint by Springer 1975 (Vol.1 Basic concepts, Vol.2 Linear Algebra, Vol.3 Theory of fields and Galois theory)
  • Structure of Rings. AMS 1956
  • Lie Algebras. Interscience 1962
  • Structure and Representations of Jordan Algebras. AMS 1968
  • Exceptional Lie Algebras. Dekker 1971
  • Basic Algebra. Freeman, San Francisco 1974, Vol. 1; 1980, Vol. 2; 2nd edition, Vol. 1. 1985.  2nd edition, Vol. 2. 1989. 
  • PI-Algebras. An Introduction. Springer 1975
  • Finite-dimensional division algebras over fields 1996

    • Articles

  • "Abstract derivation and Lie algebras". Trans. Amer. Math. Soc. 42: 206–224. 1937. MR 1501922. doi:10.1090/s0002-9947-1937-1501922-7. 
  • "p-algebras of exponent p". Bull. Amer. Math. Soc. 43: 667–670. 1937. MR 1563614. doi:10.1090/s0002-9904-1937-06621-3. 
  • "An application of E. H. Moore's determinant of a hermitian matrix". Bull. Amer. Math. Soc. 45: 745–748. 1939. MR 0000219. doi:10.1090/s0002-9904-1939-07072-9. 
  • "A note on hermitian forms". Bull. Amer. Math. Soc. 46: 264–268. 1940. MR 0001957. doi:10.1090/s0002-9904-1940-07187-3. 
  • "Restricted Lie algebras of characteristic p". Trans. Amer. Math. Soc. 50: 15–25. 1941. MR 0005118. doi:10.1090/s0002-9947-1941-0005118-0. 
  • "Schur's theorem on commutative algebras". Bull. Amer. Math. Soc. 50: 431–436. 1944. MR 0010540. doi:10.1090/s0002-9904-1944-08169-x. 
  • "The equation x ′ ≡ x d − d x = b ". Bull. Amer. Math. Soc. 50: 902–905. 1944. MR 0011290. doi:10.1090/s0002-9904-1944-08260-8. 
  • "Structure theory of simple rings without finiteness assumptions". Trans. Amer. Math. Soc. 57: 228–245. 1945. MR 0011680. doi:10.1090/s0002-9947-1945-0011680-8. 
  • "The radical and semi-simplicity for arbitrary rings". Amer. J. Math. 67: 300–322. 1945. MR 0012271. doi:10.2307/2371731. 
  • "Structure theory for algebras of bounded degree". Ann. Math. 46: 695–707. 1945. MR 0014083. doi:10.2307/1969205. 
  • "A topology for the set of primitive ideals in an arbitrary ring". Proc Natl Acad Sci U S A. 31: 333–338. 1945. PMC 1078836 . PMID 16588704. doi:10.1073/pnas.31.10.333. 
  • "The center of a Jordan ring". Bull. Amer. Math. Soc. 54: 316–322. 1948. MR 0024422. doi:10.1090/s0002-9904-1948-08993-5. 
  • with F. D. Jacobson: "Classification and representation of semi-simple Jordan algebras". Trans. Amer. Math. Soc. 65: 141–169. 1949. MR 0029367. doi:10.1090/s0002-9947-1949-0029367-8. 
  • "Lie and Jordan triple systems". Amer. J. Math. 71: 149–170. 1949. MR 0028305. doi:10.2307/2372102. 
  • with C. E. Rickart: "Jordan homomorphisms of rings". Trans. Amer. Math. Soc. 69: 479–502. 1950. MR 0038335. doi:10.1090/s0002-9947-1950-0038335-x. 
  • "Some remarks on one-sided inverses". Proc. Amer. Math. Soc. 1: 352–355. 1950. MR 0036223. doi:10.1090/s0002-9939-1950-0036223-1. 
  • "General representation theory of Jordan algebras". Trans. Amer. Math. Soc. 70: 509–530. 1951. MR 0041118. doi:10.1090/s0002-9947-1951-0041118-9. 
  • "Completely reducible Lie algebras of linear transformations". Proc. Amer. Math. Soc. 2: 105–113. 1951. MR 0049882. doi:10.1090/s0002-9939-1951-0049882-5. 
  • with C. E. Rickart: "Homomorphisms of Jordan rings of self-adjoint elements". Amer. Math. Soc. 72: 310–322. 1952. MR 0046346. doi:10.1090/s0002-9947-1952-0046346-5. 
  • "Operator commutativity in Jordan algebras". Proc. Amer. Math. Soc. 3: 973–976. 1952. MR 0051828. doi:10.1090/s0002-9939-1952-0051828-1. 
  • "A note on automorphisms and derivations of Lie algebras". Proc. Amer. Math. Soc. 6: 281–283. 1955. MR 0068532. doi:10.1090/s0002-9939-1955-0068532-9. 
  • "Commutative restricted Lie algebras". Proc. Amer. Math. Soc. 6: 476–481. 1955. MR 0071721. doi:10.1090/s0002-9939-1955-0071721-0. 

    • References

    Nathan Jacobson Wikipedia
    (Text) CC BY-SA