Goldie Conditions for Ore Extensions over Semiprime Rings
✍ Scribed by André Leroy; Jerzy Matczuk
- Publisher
- Springer Netherlands
- Year
- 2005
- Tongue
- English
- Weight
- 248 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1386-923X
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📜 SIMILAR VOLUMES
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
Let k be a number field with ring of integers O k , and let be the dihedral group of order 8. For each tame Galois extension N/k with group isomorphic to , the ring of integers O N of N determines a class in the locally free class group Cl(O k [ ]). We show that the set of classes in Cl(O k [ ]) rea