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On a theorem of Roth

โœ Scribed by S. L. G. Choi


Publisher
Springer
Year
1969
Tongue
English
Weight
401 KB
Volume
179
Category
Article
ISSN
0025-5831

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This paper extends Roth's similarity theorem as follows: Let R be a ring with identity, B(A) = CfZoBiA' E R mxq[ A]. If either R is a division ring and A E R,, ,, is algebraic, or R is finitely generated as a module over its center, then the matrix equation Et= o A"XB, = C over R has a solution if a