Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 48, No. 1, pp. 291-301 (2007)

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Sums of $d$th powers in non-commutative rings

Susanne Pumplün

School of Mathematics, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom, e-mail: susanne.pumpluen@nottingham.ac.uk

Abstract: Sums of $d$th powers in central simple algebras and other non-commutative rings are investigated.

Keywords: Sums of $d$-th powers, forms of higher degree, higher trace forms, higher Pythagoras number, non-commutative rings, $d$-th level

Classification (MSC2000): 11E76; 11E04, 12E05

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