Abstract
Let R be a prime ring and U(R) the group of units of R. We prove that if U(R) generates R and satisfies a group identity, then R is either a domain or a full matrix ring over a finite field.
| Original language | English |
|---|---|
| Pages (from-to) | 3305-3309 |
| Number of pages | 5 |
| Journal | Communications in Algebra |
| Volume | 31 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2003 Jul 1 |
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Keywords
- Generalized polynomial identities
- Group identities
- Prime rings
- Units
ASJC Scopus subject areas
- Algebra and Number Theory
Cite this
Lee, T. K., & Liu, C. H. (2003). Group identities and prime rings generated by units. Communications in Algebra, 31(7), 3305-3309. https://doi.org/10.1081/AGB-120022227