Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
F. Anderson and K.R. Fuller, Rings and Categories of Modules, Springer-Verlag, Berlin-Heidelberg-New York, 1974.
G. Azumaya, Separable rings, J. Algebra 63 (1980) 1–14.
N. Bourbaki, Algebre Commutative, Chapitre I, Actualites Sci. Ind. No. 1290, Hermann, Paris, 1962.
W.D. Burgess, A characterization of biregular group rings, Canad. Math. Bull. 21 (1978) 119–120.
D.G. Burkholder, Azumaya rings with locally perfect centers, J. Algebra 103 (1986) 606–618.
D.G. Burkholder, Azumaya rings, Pierce stalks and central ideal algebras, Comm. Algebra 17 (1989) 103–113.
D.G. Burkholder, Products of Azumaya rings and Kochen's map, Comm. Algebra 17 (1989) 115–134.
F.R. Demeyer and E.C. Ingraham, Separable Algebras over Commutative Rings, Lecture Notes in Mathematics #181, Springer-Verlag, Berlin-Heidelberg-New York, 1970.
F.R. Demeyer and G.J. Janusz, Group rings which are Azumaya algebras, Trans. Amer. Math. Soc. 279 (1983) 389–395.
S.V. Mihovski, Biregular crossed products, J. Algebra 114 (1988) 58–67.
S.V. Mihovski, Errata: Biregular crossed products, J. Algebra 117 (1988) 525.
J.C. McConnell and J.C. Robson, Noncommutative Noetherian Rings, Wiley, London, 1988.
D.S. Passman, The Algebraic Structure of Group Rings, Wiley, New York, 1977.
M.L. Ranga Rao, Azumaya, semisimple and ideal algebras, Bull. Amer. Math. Soc. 78 (1972) 588–592.
O.E. Villamayor, On weak dimension of algebras, Pacific J. Math 9 (1959) 941–951.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
Wehlen, J.A. (1990). Azumaya rings and Maschke's Theorem. In: Jain, S.K., López-Permouth, S.R. (eds) Non-Commutative Ring Theory. Lecture Notes in Mathematics, vol 1448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091247
Download citation
DOI: https://doi.org/10.1007/BFb0091247
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53164-7
Online ISBN: 978-3-540-46745-8
eBook Packages: Springer Book Archive