Centroid Hom-associative Algebras and Centroid Hom-Lie Algebras.

Autor: Bai, Yu Xiu¹ (AUTHOR), Bokut, Leonid A.^2,3 (AUTHOR), Chen, Yu Qun⁴ (AUTHOR), Zhang, Ze Rui⁴ (AUTHOR) zeruizhang@scnu.edu.cn

Publikováno v: Acta Mathematica Sinica. Apr2024, Vol. 40 Issue 4, p935-961. 27p.

The Jacobian Conjecture, together with Specht and Burnside-type problems

Autor: Belov, Alexei, Bokut, Leonid, Rowen, Louis, Yu, Jie-Tai

Publikováno v: Automorphisms in Birational and Affine Geometry (Bellavista Relax Hotel, Levico Terme --Trento, October 29th --November 3rd, 2012, Italy), Springer Proceedings in Mathematics & Statistics, 79, Springer Verlag, 2014, 249--285

We explore an (unpublished) approach to the famous Jacobian Conjecture by means of identities of algebras, discovered by the brilliant deceased mathematician, Alexander Vladimirovich Yagzhev (1951{2001). This approach also indicates some very close c

Externí odkaz: http://arxiv.org/abs/1308.0674

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Twisted conjugacy in free groups and Makanin's question

Autor: Bardakov, Valerij, Bokut, Leonid, Vesnin, Andrei

We discuss the following question of G. Makanin from ``Kourovka notebook'': does there exist an algorithm to determine is for an arbitrary pair of words $U$ and $V$ of a free group $F_n$ and an arbitrary automorphism $\phi \in Aut(F_n)$ the equation

Externí odkaz: http://arxiv.org/abs/math/0401349

Gröbner–Shirshov basis theory and word problems for metatrivial Poisson algebras

Autor: Bokut, Leonid A., Chen, Yuqun, Zhang, Zerui

Publikováno v: São Paulo Journal of Mathematical Sciences; 20230101, Issue: Preprints p1-29, 29p