Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P. S. Alexandrov, In memory of Emmy Noether, in Emmy Noether, 1882–1935, by A.Dick, Birkhäuser, 1981, pp. 153–179.
M. F. Atiyah and I. G. Macdonald, Introduction to Commutative Algebra, Addison Wesley, 1969.
G. Birkhoff, Current trends in algebra, Amer. Math. Monthly 1973, 80: 760–782.
G. Birkhoff, (a) The rise of modern algebra to 1936 and (b) The rise of modern algebra, 1936 to 1950, in Men and Institutions in American Mathematics, ed. by D. Tarwater et al, Texas Tech Press, 1976, pp. 41–63 and 65–85.
N. Bourbaki, Historical note, in his CommutativeAlgebra, Addison-Wesley, 1972, pp.579–606.
J. W. Brewer and M. K. Smith (eds), Emmy Noether: A Tribute to her Life and Work, Marcel Dekker, 1981.
T. Crilly, (a) The rise of Cayley’s invariant theory (1841–1862), and (b) The decline of Cayley’s invariant theory (1863–1895), Hist. Math. 1986 13: 241–254, and 1988, 15: 332–347.
C. W.Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Wiley, 1962.
A. Dick, Emmy Noether, 1882–1935, Birkhäuser, 1981.
J. Dieudonné, The work of Nicolas Bourbaki, Amer. Math. Monthly 1970, 77: 134–145.
P. Dubreil, Emmy Noether, Cahiers du Sém. d’Hist. des Math. 1986, 7: 15–27.
R. Gilmer, Commutative ring theory, in Emmy Noether: A Tribute to her Life and Work, ed. by J. W. Brewer and M. K. Smith, Marcel Dekker, 1981, pp. 131–143.
T. Hawkins, Hypercomplex numbers, Lie groups, and the creation of group representation theory, Arch. Hist. Ex. Sc. 1976/77 16: 17–36.
N. Jacobson, Basic Algebra, 2 vols., Freeman, 1974 and 1980.
N. Jacobson (ed.), Emmy Noether: Collected Papers, Springer-Verlag, 1983. Contains an introduction by Jacobson to Noether’s works.
I. Kaplansky, Commutative rings, in Proc. of Conf. on Commutative Algebra, ed. by J. W. Brewer and E. A. Rutter, Springer-Verlag, 1973, pp. 153–166.
C. H. Kimberling, Emmy Noether and her influence, in Emmy Noether: A Tribute to her Life and Work, ed. by J. W. Brewer and M. K. Smith, Marcel Dekker, 1981, pp. 3–61.
T. Y. Lam, Representation theory, in Emmy Noether: A Tribute to her Life and Work, ed. by J. W. Brewer and M. K. Smith, Marcel Dekker, 1981, pp. 145–156.
S. MacLane, History of abstract algebra, in American Mathematical Heritage: Algebra and Applied Mathematics, ed. by D. Tarwater et al, Texas Tech Press, 1981, pp. 3–35.
S. MacLane, Mathematics at the University of Göttingen (1931–1933), in Emmy Noether: A Tribute to her Life and Work, ed. by J. W. Brewer and M. K. Smith, Marcel Dekker, 1981, pp. 65–78.
U. Merzbach, Historical contexts, in Emmy Noether in Bryn Mawr, ed. by B. Srinivasan and J. Sally, Springer-Verlag, 1983, pp. 161–171.
A. F. Monna, L’algébrisation de la mathématique, réflexions historiques, Comm. Math. Inst., Rijksuniversiteit, Utrecht, 1977.
C. Parikh, The Unreal Life of Oscar Zariski, Academic Press, 1991.
H. Pollard and H. G. Diamond, TheTheoryofAlgebraicNumbers, Math. Assoc. of America, 1975.
M. K. Smith, Emmy Noether’s contributions to mathematics, Unpublished notes (13 pp, ca 1976).
B. Srinivasan and J. Sally (eds.), Emmy Noether in Bryn Mawr, Springer-Verlag, 1983.
B. L. van der Waerden, Obituary of Emmy Noether, in Emmy Noether, 1882–1935, by A. Dick, Birkhäuser, 1981, pp. 100–111.
B. L. van der Waerden, The foundations of algebraic geometry from Severi to André Weil, Arch. Hist. Ex. Sc. 1970–71, 7: 171–180.
B. L. van der Waerden, On the sources of my book Moderne Algebra, Hist. Math. 1975, 2: 31–40.
B. L. van der Waerden, The school of Hilbert and Emmy Noether, Bull. Lond. Math. Soc. 1983, 15: 1–7.
H. Weyl, Memorial address, in Emmy Noether, 1882–1935, by A. Dick, Birkhäuser, 1981, pp. 112–152.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Birkhäuser Boston
About this chapter
Cite this chapter
Kleiner, I. (2007). Emmy Noether and the Advent of Abstract Algebra. In: Kleiner, I. (eds) A History of Abstract Algebra. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4685-1_6
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4685-1_6
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4684-4
Online ISBN: 978-0-8176-4685-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)