On the unit groups of rings with involution

Let R be a ring with involution. We study the influence of some properties of the unit group R * to the algebraic structure of R provided R is either artinian or semiprimitive ring. In particular, we devote our attention mainly to the case when R = D is a division ring.

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Bibliographic Details
Published in:Acta mathematica Hungarica 2022-04, Vol.166 (2), p.432-452
Main Authors: Bien, M. H., Hai, B. X., Hue, D. T.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:Let R be a ring with involution. We study the influence of some properties of the unit group R * to the algebraic structure of R provided R is either artinian or semiprimitive ring. In particular, we devote our attention mainly to the case when R = D is a division ring.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-022-01223-4