Primitive and Almost Primitive Elements of Schreier Varieties
- 作者: Artamonov V.1, Klimakov A.1, Mikhalev A.1, Mikhalev A.1
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隶属关系:
- Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
- 期: 卷 237, 编号 2 (2019)
- 页面: 157-179
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242312
- DOI: https://doi.org/10.1007/s10958-019-4148-2
- ID: 242312
如何引用文章
详细
A variety of linear algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free. A system of elements of a free algebra is primitive if there is a complement of this system with respect to a free generating set of the free algebra. An element of a free algebra of a Schreier variety is said to be almost primitive if it is not primitive in the free algebra, but it is a primitive element of any subalgebra that contains it. This survey article is devoted to the study of primitive and almost primitive elements of Schreier varieties.
作者简介
V. Artamonov
Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
Email: aamikhalev@mail.ru
俄罗斯联邦, Moscow
A. Klimakov
Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
Email: aamikhalev@mail.ru
俄罗斯联邦, Moscow
A. Mikhalev
Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: aamikhalev@mail.ru
俄罗斯联邦, Moscow
A. Mikhalev
Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
Email: aamikhalev@mail.ru
俄罗斯联邦, Moscow