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Rota–Baxter Operators of Weight Zero on a Simple Non-Lie Malcev Algebra. / Goncharov, M. E.

в: Siberian Mathematical Journal, Том 67, № 1, 5, 01.2026, стр. 40-65.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Goncharov ME. Rota–Baxter Operators of Weight Zero on a Simple Non-Lie Malcev Algebra. Siberian Mathematical Journal. 2026 янв.;67(1):40-65. 5. doi: 10.1134/S0037446626010052

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Goncharov, M. E. / Rota–Baxter Operators of Weight Zero on a Simple Non-Lie Malcev Algebra. в: Siberian Mathematical Journal. 2026 ; Том 67, № 1. стр. 40-65.

BibTeX

@article{fb1df43b66ed49eeb6f212d05cff7493,
title = "Rota–Baxter Operators of Weight Zero on a Simple Non-Lie Malcev Algebra",
abstract = "We obtain a complete description of Rota–Baxter operators of weight zero on the simple non-Lie Malcev algebra over the field of complex numbers.The description is given up to the action of the automorphism group of the algebra and multiplication by a nonzero scalar.",
keywords = "512.554.37, Malcev algebra, Rota–Baxter operator, automorphisms of Malcev algebras",
author = "Goncharov, {M. E.}",
note = "Goncharov, M.E. Rota–Baxter Operators of Weight Zero on a Simple Non-Lie Malcev Algebra. Sib Math J 67, 40–65 (2026). https://doi.org/10.1134/S0037446626010052 The work was supported by the Russian Science Foundation (Project 23–71–10005, https://rscf.ru/project/23-71-10005/).",
year = "2026",
month = jan,
doi = "10.1134/S0037446626010052",
language = "English",
volume = "67",
pages = "40--65",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Rota–Baxter Operators of Weight Zero on a Simple Non-Lie Malcev Algebra

AU - Goncharov, M. E.

N1 - Goncharov, M.E. Rota–Baxter Operators of Weight Zero on a Simple Non-Lie Malcev Algebra. Sib Math J 67, 40–65 (2026). https://doi.org/10.1134/S0037446626010052 The work was supported by the Russian Science Foundation (Project 23–71–10005, https://rscf.ru/project/23-71-10005/).

PY - 2026/1

Y1 - 2026/1

N2 - We obtain a complete description of Rota–Baxter operators of weight zero on the simple non-Lie Malcev algebra over the field of complex numbers.The description is given up to the action of the automorphism group of the algebra and multiplication by a nonzero scalar.

AB - We obtain a complete description of Rota–Baxter operators of weight zero on the simple non-Lie Malcev algebra over the field of complex numbers.The description is given up to the action of the automorphism group of the algebra and multiplication by a nonzero scalar.

KW - 512.554.37

KW - Malcev algebra

KW - Rota–Baxter operator

KW - automorphisms of Malcev algebras

UR - https://www.scopus.com/pages/publications/105028680742

UR - https://www.mendeley.com/catalogue/4957c230-492c-3734-b317-0ee880021a44/

U2 - 10.1134/S0037446626010052

DO - 10.1134/S0037446626010052

M3 - Article

VL - 67

SP - 40

EP - 65

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 1

M1 - 5

ER -

ID: 74364939