Nathan Jacobson
Jacobson in 1974
Born	(1910-10-05)October 5, 1910 Warsaw,Congress Poland,Russian Empire
Died	December 5, 1999(1999-12-05) (aged 89) Hamden, Connecticut
Alma mater	Princeton University (Ph.D. 1934) University of Alabama (B.S. 1930)
Known for	Mathematics textbooks;Jacobson–Bourbaki theorem;Jacobson's conjecture;Jacobson density theorem;Jacobson radical;Jacobson ring
Awards	AMSSteele Prize for Lifetime Achievement (1998)
Scientific career
Fields	Mathematics
Institutions	U.N.C. at Chapel Hill Johns Hopkins University Yale University
Thesis	Non-commutative Polynomials and Cyclic Algebras (1934)
Doctoral advisor	Joseph Wedderburn
Doctoral students	Georgia Benkart Charles W. Curtis Craig Huneke Kevin McCrimmon George Seligman Daya-Nand Verma Maria Wonenburger

Nathan Jacobson (October 5, 1910 – December 5, 1999) was an Americanmathematician.^[1]

Born Nachman Arbiser^[2] in Warsaw, Jacobson emigrated to America with his family in 1918. He graduated from theUniversity of Alabama in 1930 and was awarded a doctorate in mathematics fromPrinceton University in 1934. While working on his thesis,Non-commutative polynomials and cyclic algebras, he was advised byJoseph Wedderburn.

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

He was a member of theNational Academy of Sciences and theAmerican Academy of Arts and Sciences. He served as president of theAmerican Mathematical Society from 1971 to 1973, and was awarded their highest honour, theLeroy P. Steele prize for lifetime achievement, in 1998.^[3] He was also vice-president of theInternational Mathematical Union from 1972 to 1974.

• Collected Mathematical Papers, 3 vols., 1989
• The theory of Rings. 1943^[4]
• Lectures in Abstract Algebra.^[5][6][7] 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^[8]
• Lie Algebras. Interscience 1962^[9]
• Structure and Representations of Jordan Algebras. AMS 1968^[10]
• Exceptional Lie Algebras. Dekker 1971
• Basic Algebra. Freeman, San Francisco 1974, Vol. 1; 1980, Vol. 2;Jacobson, Nathan (1985).2nd edition, Vol. 1. Courier Corporation.ISBN 9780486135229.Jacobson, Nathan (1989).2nd edition, Vol. 2. Courier Corporation.ISBN 9780486135212.
• PI-Algebras. An Introduction. Springer 1975
• Finite-dimensional division algebras over fields 1996

• Jacobson, Nathan (1937)."Abstract derivation and Lie algebras".Trans. Amer. Math. Soc.42 (2):206–224.doi:10.1090/s0002-9947-1937-1501922-7.MR 1501922.
• "p-algebras of exponentp".Bull. Amer. Math. Soc.43:667–670. 1937.doi:10.1090/s0002-9904-1937-06621-3.MR 1563614.
• Jacobson, N. (1939)."An application of E. H. Moore's determinant of a hermitian matrix".Bull. Amer. Math. Soc.45 (10):745–748.doi:10.1090/s0002-9904-1939-07072-9.MR 0000219.
• Jacobson, N. (1940)."A note on hermitian forms".Bull. Amer. Math. Soc.46 (4):264–268.doi:10.1090/s0002-9904-1940-07187-3.MR 0001957.
• Jacobson, N. (1941)."Restricted Lie algebras of characteristicp".Trans. Amer. Math. Soc.50:15–25.doi:10.1090/s0002-9947-1941-0005118-0.MR 0005118.
• "Schur's theorem on commutative algebras".Bull. Amer. Math. Soc.50:431–436. 1944.doi:10.1090/s0002-9904-1944-08169-x.MR 0010540.
• "The equation${\displaystyle x^{\prime }\equiv xd-dx=b}$".Bull. Amer. Math. Soc.50:902–905. 1944.doi:10.1090/s0002-9904-1944-08260-8.MR 0011290.
• Jacobson, N. (1945)."Structure theory of simple rings without finiteness assumptions".Trans. Amer. Math. Soc.57 (2):228–245.doi:10.1090/s0002-9947-1945-0011680-8.MR 0011680.
• Jacobson, N. (1945). "The radical and semi-simplicity for arbitrary rings".Amer. J. Math.67 (2):300–322.doi:10.2307/2371731.JSTOR 2371731.MR 0012271.
• "Structure theory for algebras of bounded degree".Ann. Math.46:695–707. 1945.doi:10.2307/1969205.JSTOR 1969205.MR 0014083.
• Jacobson, N. (1945)."A topology for the set of primitive ideals in an arbitrary ring".Proc. Natl. Acad. Sci. U.S.A.31 (10):333–338.Bibcode:1945PNAS...31..333J.doi:10.1073/pnas.31.10.333.PMC 1078836.PMID 16588704.
• Jacobson, N. (1948)."The center of a Jordan ring".Bull. Amer. Math. Soc.54 (4):316–322.doi:10.1090/s0002-9904-1948-08993-5.MR 0024422.
• with F. D. Jacobson:Jacobson, F. D.; Jacobson, N. (1949)."Classification and representation of semi-simple Jordan algebras".Trans. Amer. Math. Soc.65:141–169.doi:10.1090/s0002-9947-1949-0029367-8.MR 0029367.
• Jacobson, Nathan (1949). "Lie and Jordan triple systems".Amer. J. Math.71 (1):149–170.doi:10.2307/2372102.JSTOR 2372102.MR 0028305.
• withC. E. Rickart:Jacobson, N.; Rickart, C. E. (1950)."Jordan homomorphisms of rings".Trans. Amer. Math. Soc.69:479–502.doi:10.1090/s0002-9947-1950-0038335-x.MR 0038335.
• Jacobson, N. (1950)."Some remarks on one-sided inverses".Proc. Amer. Math. Soc.1 (3):352–355.doi:10.1090/s0002-9939-1950-0036223-1.MR 0036223.
• Jacobson, N. (1951)."General representation theory of Jordan algebras".Trans. Amer. Math. Soc.70 (3):509–530.doi:10.1090/s0002-9947-1951-0041118-9.MR 0041118.
• Jacobson, Nathan (1951)."Completely reducible Lie algebras of linear transformations".Proc. Amer. Math. Soc.2:105–113.doi:10.1090/s0002-9939-1951-0049882-5.MR 0049882.
• with C. E. Rickart:Jacobson, N.; Rickart, C. E. (1952)."Homomorphisms of Jordan rings of self-adjoint elements".Trans. Amer. Math. Soc.72 (2):310–322.doi:10.1090/s0002-9947-1952-0046346-5.MR 0046346.
• Jacobson, N. (1952)."Operator commutativity in Jordan algebras".Proc. Amer. Math. Soc.3 (6):973–976.doi:10.1090/s0002-9939-1952-0051828-1.MR 0051828.
• Jacobson, N. (1955)."A note on automorphisms and derivations of Lie algebras".Proc. Amer. Math. Soc.6 (2):281–283.doi:10.1090/s0002-9939-1955-0068532-9.MR 0068532.
• Jacobson, N. (1955)."Commutative restricted Lie algebras".Proc. Amer. Math. Soc.6 (3):476–481.doi:10.1090/s0002-9939-1955-0071721-0.MR 0071721.

• Jacobson–Bourbaki theorem
• Jacobson's conjecture
• Jacobson density theorem
• Jacobson radical
• Jacobson ring

Scholia has a profile forNathan Jacobson(Q951276).

• Nathan Jacobson at theMathematics Genealogy Project
• O'Connor, John J.;Robertson, Edmund F.,"Nathan Jacobson",MacTutor History of Mathematics Archive,University of St Andrews
• An interview with William L. Duren, Nathan Jacobson, and Edward J. McShane about their experiences at Princeton

• 1910 births
• Members of the United States National Academy of Sciences
• 1999 deaths
• Polish emigrants to the United States
• 20th-century American mathematicians
• American algebraists
• University of Alabama alumni
• Princeton University alumni
• Bryn Mawr College faculty
• University of North Carolina at Chapel Hill faculty
• Johns Hopkins University faculty
• Yale University faculty
• Presidents of the American Mathematical Society

• Articles with short description
• Short description matches Wikidata
• Articles with hCards
• Pages using infobox person with deprecated parameters