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On Potential Counterexamples to the Problem of Zero Divisors. / Bardakov, V. G.; Petukhova, M. S.

In: Journal of Mathematical Sciences (United States), Vol. 221, No. 6, 01.03.2017, p. 778-797.

Research output: Contribution to journal › Article › peer-review

Harvard

Bardakov, VG & Petukhova, MS 2017, 'On Potential Counterexamples to the Problem of Zero Divisors', Journal of Mathematical Sciences (United States), vol. 221, no. 6, pp. 778-797. https://doi.org/10.1007/s10958-017-3266-y

APA

Bardakov, V. G., & Petukhova, M. S. (2017). On Potential Counterexamples to the Problem of Zero Divisors. Journal of Mathematical Sciences (United States), 221(6), 778-797. https://doi.org/10.1007/s10958-017-3266-y

Vancouver

Bardakov VG, Petukhova MS. On Potential Counterexamples to the Problem of Zero Divisors. Journal of Mathematical Sciences (United States). 2017 Mar 1;221(6):778-797. doi: 10.1007/s10958-017-3266-y

Author

Bardakov, V. G. ; Petukhova, M. S. / On Potential Counterexamples to the Problem of Zero Divisors. In: Journal of Mathematical Sciences (United States). 2017 ; Vol. 221, No. 6. pp. 778-797.

BibTeX

@article{8ea371a207cd40379986a9b818f992c4,
title = "On Potential Counterexamples to the Problem of Zero Divisors",
abstract = "E. Rips constructed a series of groups such that their group rings have zero divisors. such groups can serve as counterexamples to Kaplansky{\textquoteright}s problem on zero divisors. The problem is to find such a group without torsion. We study simplest groups of this series, classify such groups, describe the structure, and show that all such groups have 2-torsion.",
author = "Bardakov, {V. G.} and Petukhova, {M. S.}",
year = "2017",
month = mar,
day = "1",
doi = "10.1007/s10958-017-3266-y",
language = "English",
volume = "221",
pages = "778--797",
journal = "Journal of Mathematical Sciences (United States)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - On Potential Counterexamples to the Problem of Zero Divisors

AU - Bardakov, V. G.

AU - Petukhova, M. S.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - E. Rips constructed a series of groups such that their group rings have zero divisors. such groups can serve as counterexamples to Kaplansky’s problem on zero divisors. The problem is to find such a group without torsion. We study simplest groups of this series, classify such groups, describe the structure, and show that all such groups have 2-torsion.

AB - E. Rips constructed a series of groups such that their group rings have zero divisors. such groups can serve as counterexamples to Kaplansky’s problem on zero divisors. The problem is to find such a group without torsion. We study simplest groups of this series, classify such groups, describe the structure, and show that all such groups have 2-torsion.

UR - http://www.scopus.com/inward/record.url?scp=85011654077&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3266-y

DO - 10.1007/s10958-017-3266-y

M3 - Article

AN - SCOPUS:85011654077

VL - 221

SP - 778

EP - 797

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 6

ER -

ID: 10311945