排序方式: 共有21条查询结果,搜索用时 15 毫秒
1.
U. U. Umirbaev 《Siberian Mathematical Journal》1995,36(4):787-791
Translated fromSibirskii Matematicheskii Zhurnal, Vol. 36, No. 4, pp. 911–916, July–August, 1995. 相似文献
2.
3.
4.
U. U. Umirbaev 《Algebra and Logic》1994,33(3):180-193
Some necessary and sufficient conditions for a variety of algebras to possess the Schreier property are given. It is proved that the variety of algebras defined by the identity xx
2 = 0is a Schreier variety.
Translated fromAlgebra i Logika, Vol. 33, No. 3, pp. 317–340, May–June, 1994. 相似文献
5.
Leonid Makar-Limanov Ualbai Umirbaev 《Proceedings of the American Mathematical Society》2007,135(7):1969-1975
We prove an analog of the Bergman Centralizer Theorem for free Poisson algebras over an arbitrary field of characteristic 0. Some open problems are formulated.
6.
Alexander A. Mikhalev Ualbai Umirbaev Jie-Tai Yu 《Proceedings of the American Mathematical Society》2002,130(5):1303-1310
We construct a series of generic elements of free Lie algebras. New almost primitive and test elements were found. We present an example of an almost primitive element which is not generic.
7.
Free Akivis algebras and primitive elements in their universal enveloping algebras are investigated. It is proved that subalgebras of free Akivis algebras are free and that finitely generated subalgebras are finitely residual. Decidability of the word problem for the variety of Akivis algebras is also proved.The conjecture of K. H. Hofmann and K. Strambach (Problem 6.15 in [Topological and analytic loops, in “Quasigroups and Loops Theory and Applications,” Series in Pure Mathematics (O. Chein, H. O. Pflugfelder, and J. D. H. Smith, Eds.), Vol. 8, pp. 205–262, Heldermann Verlag, Berlin, 1990]) on the structure of primitive elements is proved to be not valid, and a full system of primitive elements in free nonassociative algebra is constructed.Finally, it is proved that every algebra B can be considered as a hyperalgebra, that is, a system with a series of multilinear operations that plays a role of a tangent algebra for a local analytic loop, where the hyperalgebra operations on B are interpreted by certain primitive elements. 相似文献
8.
U. U. Umirbaev 《Algebra and Logic》1993,32(4):244-255
Translated fromAlgebra i Logika, Vol. 32, No. 4, pp. 450–470, July–August, 1993. 相似文献
9.
10.
U. U. Umirbaev 《Algebra and Logic》1995,34(2):112-124
We study the problem on the existence of an algorithm verifying whether systems of linear equations over a group ring of a free metabelian group are solvable. The occurrence problem for free solvable groups of derived length 3is proved undecidable. We give an example of a group with undecidable word problem which is finitely presented in a variety of solvable groups and is defined by the relations from the last commutator subgroup.
Translated fromAlgebra i Logika, Vol. 34, No. 2, pp. 211-232, March-April, 1995. 相似文献