Viktor Lopatkin

Publications²⁰

• Article Lisitsa A., Lopatkin V., Vernitski A. Describing realizable Gauss diagrams using the concepts of parity or bipartite graphs // Journal of Knot Theory and Its Ramifications. 2023. Vol. 32. No. 10. Article 2350059. doi
• Article Lopatkin V., Kaygorodov I., Zhang Z. Transposed Poisson structure on Galilean and solvable Lie algebras // Journal of Geometry and Physics. 2023. No. 187. P. 1-20. doi
• Preprint Lopatkin V., Kolesnikov P., Alhussein H. Morse matching method for conformal cohomologies / Cornell University. Series arXiv "math". 2022.
• Preprint Kaygorodov I., Lopatkin V., Zhang Z. Transposed Poisson structures on Galilean and solvable Lie algebras / Cornell University. Series arXiv "math". 2022.
• Article Ferreira B., Kaygorodov I., Lopatkin V. 1/2-derivations of Lie algebras and transposed Poisson algebras // Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas. 2021. Vol. 115. No. 3. Article 142. doi
• Preprint Lopatkin V., Abdullah K., Lisitsa A., Vernitski A. Circle graphs (chord interlacement graphs) of Gauss diagrams: Descriptions of realizable Gauss diagrams, algorithms, enumeration. / Cornell University. Series arXiv "math". 2021.
• Preprint Lopatkin V. Garside Theory: a Composition--Diamond Lemma Point of View / Cornell University. Series arXiv "math". 2021.
• Article Ivanon S., Lopatkin V. Parafree augmented algebras and Gröbner-Shirshov bases for complete augmented algebras // Journal of Pure and Applied Algebra. 2021. Vol. 225. No. 11. Article 106725. doi
• Article Grinblat A., Lopatkin V. Bipartite graphs as polynomials and polynomials as bipartite graphs // Journal of Algebra and its Applications. 2020. Vol. 20. No. 5. Article 2150083. doi
• Article Lopatkin V., Zusmanovich P. Commutative Lie Algebras and Commutative Cohomology in Characteristic 2 // Communications in Contemporary Mathematics. 2020. Vol. 23. No. 5. Article 2050046. doi
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  Book Bokut L., Chen Y., Kalorkoti K., Kolesnikov P., Lopatkin V. Gröbner–Shirshov Bases, Normal Forms, Combinatorial and Decision Problems in Algebra. World Scientific, 2020. doi
• Article Grinblat A., Lopatkin V. On Realizability of Gauss Diagrams and Constructions of Meanders // Journal of Knot Theory and Its Ramifications. 2020. Vol. 29. No. 5. Article 2050031. doi
• Article Camacho L. M., Kaygorodov I., Lopatkin V., Salim M. A. The variety of dual mock-Lie algebras // Communications in Mathematics. 2020. Vol. 28. No. 2. P. 161-178. doi
• Article Lopatkin V. Derivations of Leavitt path algebras // Journal of Algebra. 2019. Vol. 520. P. 59-89. doi
• Preprint Lopatkin V. On Common Divisors of Fox Derivatives with towards to Zero Divisors of Group Rings / Cornell University. Series arXiv "math". 2019.
• Article Lopatkin V., Nam T. G. On the homological dimension of Leavitt path algebra with coefficients in commutative rings // Journal of Algebra. 2017. No. 481. P. 273-292. doi
• Article Lopatkin V. Cohomology Rings of the Plactic Monoid via a Grobner--Shirshov basis // Journal of Algebra and its Applications. 2016. Vol. 15. No. 4. Article 1650082. doi
• Article Лопаткин В. Е. Кольца когомологий асинхронных систем переходов // Дальневосточный математический журнал. 2011. Т. 11. № 2. С. 181-189.
• Article Лопаткин В. Е. Кольца когомологий полукубических множеств // Известия Саратовского университета. Новая серия. Серия: Математика. Механика. Информатика. 2010. Т. 10. № 2. С. 3-10. doi
• Article Лопаткин В. Е. Исследование математической модели параллельных вычислительных процессов методами алгебраической топологии // Сибирский журнал индустриальной математики. 2008. Т. 11. № 1. С. 141-151.