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1
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Kozlov R.A.
, Kolesnikov P.S.
The Gröbner–Shirshov bases method for vertex algebras
Journal of Mathematical Sciences (United States). 2026.
V.296. N2. P.217-230. DOI: 10.1007/s10958-026-08246-0
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2
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Kolesnikov P.S.
, Sartayev B.K.
On the Dong Property for a binary quadratic operad
Journal of Algebra. 2026.
V.691. P.428-452. DOI: 10.1016/j.jalgebra.2025.11.025
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3
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Goncharov M.
, Kolesnikov P.
, Sheng Y.
, Tang R.
Formal integration of complete Rota-Baxter Lie algebras and Magnus expansion
Selecta Mathematica, New Series. 2026.
V.32. N2. DOI: 10.1007/s00029-026-01128-y
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4
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Kolesnikov P.S.
Simple finite Novikov conformal algebras
В сборнике
Algebra and model theory 2025.
– НГТУ.,
2025.
– C.91-94.
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5
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Борисов И.С.
, Волков Ю.С.
, Гончаров С.С.
, Ершов Ю.Л.
, Карманова М.Б.
, Колесников П.С.
, Кротов Д.С.
, Мазуров В.Д.
, Матвеева И.И.
, Медных А.Д.
, Романов В.Г.
, Саханенко А.И.
, Токарева Н.Н.
К 70-летию Геннадия Владимировича Демиденко
Математические труды. 2025.
Т.28. №4. С.5-10. DOI: 10.25205/1560-750X-2025-28-4-5-10
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6
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Alhussein H.
, Kolesnikov P.
, Lopatkin V.
Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules
Communications in Mathematics. 2025.
V.33. N3. 7
:1-54. DOI: 10.46298/cm.14674
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7
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Kolesnikov P.S.
, Nesterenko A.A.
Differential envelopes of Novikov conformal algebras
International Journal of Algebra and Computation. 2025.
V.35. N6. P.909-926. DOI: 10.1142/s0218196725500262
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8
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Alhussein H.
, Kolesnikov P.S.
, Lopatkin V.
Morse matching method for conformal cohomologies
Journal of Geometry and Physics. 2025.
V.217. 105617
:1-20. DOI: 10.1016/j.geomphys.2025.105617
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9
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Alhussein H.
, Kolesnikov P.S.
On the pre-commutative envelopes of commutative algebras
Journal of Algebra and its Applications. 2024.
2650008
:1-17. DOI: 10.1142/s0219498826500088
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10
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Alhussein H.
, Kolesnikov P.S.
Hochschild cohomology of the Weyl conformal algebra
В сборнике
Model Theory and Algebra 2024: Collection of papers.
– НГТУ.,
2024.
– C.8-13. – ISBN 978-5-7782-5285-1.
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11
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Kolesnikov P.
, Mashurov F.
, Sartayev B.
On Pre-Novikov Algebras and Derived Zinbiel Variety
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2024.
V.20. 017
:1-15. DOI: 10.3842/sigma.2024.017
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12
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Бокуть Л.А.
, Колесников П.С.
О локальности формальных распределений над правосимметрическими алгебрами и алгебрами Новикова
Известия Иркутского государственного университета. Серия: Математика (Bulletin of Irkutsk State University. Series Mathematics). 2024.
Т.50. С.83-100. DOI: 10.26516/1997-7670.2024.50.83
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13
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Alhussein H.
, Kolesnikov P.
Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules
Journal of Mathematical Physics. 2023.
V.64. N4. 041701
:1-17. DOI: 10.1063/5.0146223
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14
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Sartayev B.
, Kolesnikov P.
Noncommutative Novikov algebras
European Journal of Mathematics. 2023.
V.9. N2. 35
:1-18. DOI: 10.1007/s40879-023-00632-1
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15
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Kolesnikov P.S.
, Nesterenko A.A.
Conformal Envelopes of Novikov–Poisson Algebras
Siberian Mathematical Journal. 2023.
V.64. N3. P.598–610. DOI: 10.1134/S0037446623030084
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16
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Колесников П.С.
, Нестеренко А.А.
Конформные обертывающие алгебр Новикова — Пуассона
Сибирский математический журнал. 2023.
Т.64. №3. С.546–561. DOI: 10.33048/smzh.2023.64.308
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17
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Zhelyabin V.N.
, Kolesnikov P.S.
Dual coalgebras of jacobian N-Lie algebras over polynomial rings
Siberian Mathematical Journal. 2023.
V.64. N5. P.1153–1166. DOI: 10.1134/S0037446623050087
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18
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Желябин В.Н.
, Колесников П.С.
Дуальные коалгебры n-лиевых алгебр якобиана колец многочленов
Сибирский математический журнал. 2023.
Т.64. №5. С.992-1008. DOI: 10.33048/smzh.2023.64.508
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19
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Kolesnikov P.S.
, Kozlov R.A.
Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras
Algebras and Representation Theory. 2022.
V.25. N4. P.847-867. DOI: 10.1007/s10468-021-10050-0
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20
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Kolesnikov P.S.
, Panasenko A.S.
Defining relations and Gröbner-Shirshov bases of Poisson algebras as of conformal modules
Journal of Algebra and its Applications. 2022.
V.21. N7. 2250138
. DOI: 10.1142/S0219498822501389
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