location:  Publications → journals → CMB
Abstract view

Normal Subloops in the Integral Loop Ring of an $\RA$ Loop

Published:2001-03-01
Printed: Mar 2001
• Edgar G. Goodaire
• César Polcino Milies
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
 Format: HTML LaTeX MathJax PDF PostScript

Abstract

We show that an $\RA$ loop has a torsion-free normal complement in the loop of normalized units of its integral loop ring. We also investigate whether an $\RA$ loop can be normal in its unit loop. Over fields, this can never happen.
 MSC Classifications: 20N05 - Loops, quasigroups [See also 05Bxx] 17D05 - Alternative rings 16S34 - Group rings [See also 20C05, 20C07], Laurent polynomial rings 16U60 - Units, groups of units