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
A. Albert, Structure of Algebras, A.M.S. Colloquim Publ., New York, 1939.
M. Artin, On Azumaya Algebras and Finite Dimensional Representation of Rings, J. of Algebra 11, 1969, pp.532–563.
G. Cauchon, Les T-anneaux et les anneaux à identités polymiales Noetheriens, Ph.D. Thesis, Université de Paris-Sud XI, Centre d'Orsay, 1977.
C. Chevalley, Introduction to the theory of Algebraic Functions of One Variable, A.M.S. Math. Surveys nr. VI, 1951.
P. Cohn, Total subring in division algebras, Preprint, Bedford College, London 1979.
M. Deuring, Lectures on the Theory of Algebraic Functions of One Variable. LNM 314, Springer-Verlag Berlin, 1973.
E. Nauwelaerts, F. Van Oystaeyen, Birational Hereditary Noetherian Prime Rings, to appear soon in Communications in Algebra.
I. Reiner, Maximal Orders, LMS monographs, Academic Press, London, 1975.
F.K. Schmidt, Zur Aritmetischen Theorie der Algebraischen Funktionen I, Math. Zeitschrift 41, 1936.
J.P. Van Deuren, Paramétrisation non-commutative, rapport no, 71, Séminaire de Math. Pure, Louvain La Neuve.
J. Van Geel, Primes in Algebras and the Arithemetic in Central Simple Algebras, to appear in Communication in Algebra.
F. Van Oystaeyen, Zariski Central Rings, Communications in Algebra, 6(8), pp. 799–821, 1978.
F. Van Oystaeyen, Prime Spectra in Non-commutative Algebra, LNM 444, Springer Verlag, Berlin, 1975.
A. Verschoren, Some ideas in Non-commutative Algebraic Geometry, Ph.D. Thesis, University of Antwerp, UIA, 1979.
A. Weil, Basic Number Theory, Springer-Verlag Berlin, 1973.
E. Witt, Riemann-Rochser Satz un Z-Funktion im Hyperkomplexen, Math. Ann., Bd, 110, pp. 12–28, 1934.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Van Deuren, J.P., Van Geel, J., Van Oystaeyen, F. (1981). Genus and a riemann-roch theorem for non-commutative function fields in one variable. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 867. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090390
Download citation
DOI: https://doi.org/10.1007/BFb0090390
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10841-2
Online ISBN: 978-3-540-38737-4
eBook Packages: Springer Book Archive