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Differential central simple algebras and Picard-Vessiot representations
Author(s):
Lourdes
Juan;
Andy
R.
Magid
Journal:
Proc. Amer. Math. Soc.
136
(2008),
1911-1918.
MSC (2000):
Primary 12H05;
Secondary 16H05
Posted:
February 13, 2008
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Additional information
References:
-
- 1.
- Bass, H., Lectures on topics in algebraic
 -theory, Notes by Amit Roy, Tata Institute of Fundamental Research Lectures on Mathematics, 41, Tata Institute of Fundamental Research, Bombay, 1967. MR 0279159 (43:4885) - 2.
- Magid, A., Lectures on Differential Galois Theory, University Lecture Series 7, American Mathematical Society, Providence RI, 1997 (second printing with corrections). MR 1301076 (95j:12008)
- 3.
- Magid, A., The Picard-Vessiot antiderivative closure, J. Algebra 244 (2001), 1-18. MR 1856528 (2003a:12005)
- 4.
- Magid, A., The Picard-Vessiot Closure in Differential Galois Theory, in Banach Center Publications 58, Polish Academy of Sciences, Warsaw, 2002, 151-164. MR 1972451 (2004d:12010)
- 5.
- Roy, A., and Sridharan, R., Derivations in Azumaya algebras, J. Math. Kyoto Univ. 7 (1967), 161-167. MR 0222073 (36:5125)
- 6.
- Saltman, D., Lectures on division algebras, CBMS Regional Conference Series in Mathematics, 94, American Mathematical Society, Providence, RI, on behalf of the Conference Board of the Mathematical Sciences, Washington, DC, 1999. MR 1692654 (2000f:16023)
- 7.
- van der Put, M., and Singer, M., Galois Theory of Linear Differential Equations, Springer-Verlag, New York, 2003.MR 1960772 (2004c:12010)
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Additional Information:
Lourdes
Juan
Affiliation:
Department of Mathematics, Texas Tech University, Lubbock, Texas 79409
Andy
R.
Magid
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
DOI:
10.1090/S0002-9939-08-09165-X
PII:
S 0002-9939(08)09165-X
Received by editor(s):
September 15, 2006
Posted:
February 13, 2008
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2008,
American Mathematical Society
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