Computing the inversion height of some embeddings of the free algebra and the free group algebra

Dolors Herbera, Javier Sánchez

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

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 languageEnglish
Pages (from-to)108-131
JournalJournal of Algebra
Volume310
DOIs
Publication statusPublished - 1 Apr 2007

Keywords

  • Division ring
  • Free algebra
  • Free group algebra
  • Inversion height
  • Ore domain

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