Результаты исследований: Научные публикации в периодических изданиях › статья
On Zero-divisors in Group Rings of Groups with Torsion. / Ivanov, S. V.; Mikhailov, Roman.
в: Canadian Mathematical Bulletin, Том 57, № 2, 2014.Результаты исследований: Научные публикации в периодических изданиях › статья
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TY - JOUR
T1 - On Zero-divisors in Group Rings of Groups with Torsion
AU - Ivanov, S. V.
AU - Mikhailov, Roman
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
U2 - 10.4153/CMB-2012-036-6
DO - 10.4153/CMB-2012-036-6
M3 - Article
VL - 57
JO - Canadian Mathematical Bulletin
JF - Canadian Mathematical Bulletin
SN - 0008-4395
IS - 2
ER -
ID: 7037952