Standard

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 изданияхстатья

Harvard

Ivanov, SV & Mikhailov, R 2014, 'On Zero-divisors in Group Rings of Groups with Torsion', Canadian Mathematical Bulletin, Том. 57, № 2. https://doi.org/10.4153/CMB-2012-036-6

APA

Vancouver

Author

Ivanov, S. V. ; Mikhailov, Roman. / On Zero-divisors in Group Rings of Groups with Torsion. в: Canadian Mathematical Bulletin. 2014 ; Том 57, № 2.

BibTeX

@article{985c1011265d4da1ad3876e665cd5a19,
title = "On Zero-divisors in Group Rings of Groups with Torsion",
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.",
author = "Ivanov, {S. V.} and Roman Mikhailov",
year = "2014",
doi = "10.4153/CMB-2012-036-6",
language = "English",
volume = "57",
journal = "Canadian Mathematical Bulletin",
issn = "0008-4395",
publisher = "Canadian Mathematical Society",
number = "2",

}

RIS

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