Abstract
Let X be a set and k a field. We show the so-called JF-embeddings of k 〈 X 〉 in a division ring have inversion height at most two, and give examples of inversion height one and two. We use these embeddings to obtain embeddings of the free group algebra in a division ring of inversion height one and two. © 2006 Elsevier Inc. All rights reserved.
Original language | English |
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Pages (from-to) | 108-131 |
Journal | Journal of Algebra |
Volume | 310 |
DOIs | |
Publication status | Published - 1 Apr 2007 |
Keywords
- Division ring
- Free algebra
- Free group algebra
- Inversion height
- Ore domain