Abstract
Nontrivial pairs of zero-divisors in group rings are introduced and discussed. A problem on the existence of nontrivial pairs of zero-divisors in group rings of free Burnside groups of odd exponent n ≥ 1 is solved in the affirmative. Nontrivial pairs of zero-divisors are also found in group rings of free products of groups with torsion.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 326-334 |
| Number of pages | 9 |
| Journal | Canadian Mathematical Bulletin |
| Volume | 57 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 2014 |
Keywords
- Burnside groups
- Free products of groups
- Group rings
- Zero-divisors
ASJC Scopus subject areas
- General Mathematics