Primitive and Almost Primitive Elements of Schreier Varieties
- Авторлар: Artamonov V.1, Klimakov A.1, Mikhalev A.1, Mikhalev A.1
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Мекемелер:
- Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
- Шығарылым: Том 237, № 2 (2019)
- Беттер: 157-179
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242312
- DOI: https://doi.org/10.1007/s10958-019-4148-2
- ID: 242312
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
V. Artamonov
Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
Email: aamikhalev@mail.ru
Ресей, Moscow
A. Klimakov
Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
Email: aamikhalev@mail.ru
Ресей, Moscow
A. Mikhalev
Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
Хат алмасуға жауапты Автор.
Email: aamikhalev@mail.ru
Ресей, Moscow
A. Mikhalev
Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University
Email: aamikhalev@mail.ru
Ресей, Moscow