Email this article Exponential MR-groups: faithful R-completion
- Authors: Amaglobeli M.G.1
-
Affiliations:
- Ivane Javakhishvili Tbilisi State University
- Issue: Vol 486, No 2 (2019)
- Pages: 147-150
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/13402
- DOI: https://doi.org/10.31857/S0869-56524862147-150
- ID: 13402
Cite item
Full Text
Abstract
The paper is devoted to partial exponential MR-groups which are embeddable to their tensor MR-completions. The free MR-groups and free MR-products are described with usual group-theoretical free contructions.
About the authors
M. G. Amaglobeli
Ivane Javakhishvili Tbilisi State University
Author for correspondence.
Email: mikheil.amaglobeli@tsu.ge
Georgia, 1 Chavchavadze Avenue, T'bilisi 0179
References
- Lyndon R.C. Trans. Amer. Math. Soc. 1960. V. 96. P. 518-533.
- Мясников А.Г., Ремесленников В.Н. // Сиб. мат. журн. 1994. Т. 35. № 5. С. 1106-1118.
- Амаглобели М.Г., Ремесленников В.Н. // ДАН. 2012. Т. 443. № 4. С. 410-413.
- Myasnikov A.G., Remeslennikov V.N. // Int. J. Algebra Comput. 1996. V. 6. № 6. P. 687-711.
- Baumslag G., Myasnikov A., Remeslennikov V. // Geom. Dedicata. 2002. V. 92. P. 115-143.
- Амаглобели М.Г., Ремесленников В.Н. // Сиб. мат. журн. 2013. Т. 54. № 1. С. 8-19.
- Amaglobeli M., Remeslennikov V. // Georgian Math. J. 2015. V. 22. № 4. P. 441-449.
- Амаглобели М.Г., Ремесленников В.Н. // Сиб. мат. журн. 2016. Т. 57. № 6. С. 1107-1207.
- Амаглобели М.Г. Функтор тензорного пополнения в категориях степенных МРгрупп // Алгебра и логика 2018. Т. 57. № 2. С. 137-149.
- Baumslag G. // Illinois J. Math. 1986. V. 30. № 2. P. 235-245.
Supplementary files
