Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
1. G. Birkhoff and S. MacLane, A Survey of Modern Algebra, Macmillan, 1941.
N. Bourbaki, Elements of the History of Mathematics, Springer-Verlag, 1994.
D. M. Burton and D. H. Van Osdol, Toward the definition of an abstract ring, in Learn from the Masters, ed. by F. Swetz et al, Math. Assoc. of America, 1995, pp. 241–251.
H. Cohn, Advanced Number Theory, Dover, 1980.
D. Cox, J. Little, and D. O’Shea, Ideals, Varieties, and Algorithms, Springer-Verlag, 1992.
T. Crilly, Invariant theory, in Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, ed. by I. Grattan-Guinness, Routledge, 1994, pp. 787–793.
H. M. Edwards, Dedekind’s invention of ideals, Bull. Lond. Math. Soc. 1983, 15: 8–17.
H. M. Edwards, The genesis of ideal theory, Arch. Hist. Ex. Sci. 1980, 23: 321–378.
H. M. Edwards, Fermat’s Last Theorem: A Genetic Introduction to Algebraic Number Theory, Springer-Verlag, 1977.
10. D. Eisenbud, Commutative Algebra, with a View Toward Algebraic Geometry, Springer-Verlag, 1995.
A. Fraenkel, Über die Teiler der Null und die Zerlegung von Ringen, Jour. für die Reine und Angew. Math. 1914, 145: 139–176.
J. J. Gray, Early modern algebraic geometry, in Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, ed. by I. Grattan-Guinness, Routledge, 1994, pp. 920–926.
K. Ireland and M. Rosen, A Classical Introduction to Modern Number Theory, 2nd ed., Springer-Verlag, 1982.
M. Kline, MathematicalThoughtfromAncienttoModernTimes, Oxford University Press, 1972.
C. C. MacDuffee, Algebra’s debt to Hamilton, Scripta Math. 1944, 10: 25–35.
K. H. Parshall, H.M. Wedderburn and the structure theory of algebras, Arch. Hist. Ex. Sci. 1985, 32: 223–349.
J. H. Silverman and J. Tate, Rational Points on Elliptic Curves, Springer-Verlag, 1992.
M. Sono, On congruences, I-IV, Mem.Coll.Sci.Kyoto 1917, 2:203–226, 1918, 3:113–149, 189–197, and 299–308.
B. L. van der Waerden, A History of Algebra, Springer-Verlag, 1985.
J. H. M. Wedderburn, On hypercomplex numbers, Proc. Lond. Math. Soc..1907, 6:77–118.
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). History of Ring Theory. In: Kleiner, I. (eds) A History of Abstract Algebra. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4685-1_3
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4685-1_3
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)