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Algebraic elements in division rings

✍ Scribed by Joachim Gräter


Publisher
Springer
Year
1996
Tongue
English
Weight
356 KB
Volume
66
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES


Free Group Algebras in Certain Division
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Let D be a division ring with centre k. We show that D contains the k-group algebra of the free group on two generators when D is the ring of fractions of a suitable skew polynomial ring, or it is generated by a polycyclic-by-finite group which is not abelian-by-finite, or it is the ring of fraction

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of a regular matrix is defined and used to enumerate paths in a graph. It is shown that closure can be utilized to get the generator equations of a group.

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