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On the unit groups of rings with involution

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Abstract

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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Acknowledgement

We are very grateful to the anonymous reviewer for helpful insights, comments and suggestions.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, Vietnam

    M. H. Bien, B. X. Hai & D. T. Hue

  2. Vietnam National University, Ho Chi Minh City, Vietnam

    M. H. Bien, B. X. Hai & D. T. Hue

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  1. M. H. Bien
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  2. B. X. Hai
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  3. D. T. Hue
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Correspondence to B. X. Hai.

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The first and the second authors are funded by Vietnam National University HoChiMinh City (VNUHCM) under grant number T2022-18-03.

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Bien, M.H., Hai, B.X. & Hue, D.T. On the unit groups of rings with involution. Acta Math. Hungar. 166, 432–452 (2022). https://doi.org/10.1007/s10474-022-01223-4

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  • DOI: https://doi.org/10.1007/s10474-022-01223-4

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