Direct products, varieties, and compactness conditions
-
Mohammad Shahryari
Abstract
We study equationally Noetherian and
Funding source: Russian Science Foundation
Award Identifier / Grant number: 17-11-01117
Funding statement: The second author was supported by Russian Science Foundation (project 17-11-01117).
References
[1] G. Baumslag, A. Myasnikov and V. Romanβkov, Two theorems about equationally Noetherian groups, J. Algebra 194 (1997), no. 2, 654β664. 10.1006/jabr.1997.7025Search in Google Scholar
[2] E. Daniyarova, A. Myasnikov and V. Remeslennikov, Unification theorems in algebraic geometry, Aspects of Infinite Groups, Algebra Discrete Math. 1, World Science Publisher, Hackensack (2008), 80β111. 10.1142/9789812793416_0007Search in Google Scholar
[3] E. Daniyarova, V. Remeslennikov and A. Myasnikov, Algebraic geometry over algebraic structures III: Equationally Noetherian property and compactness, Southeast Asian Bull. Math. 35 (2011), no. 1, 35β68. Search in Google Scholar
[4] E. Y. Daniyarova, A. G. Myasnikov and V. N. Remeslennikov, Algebraic geometry over algebraic systems. II. Foundations, Fundam. Prikl. Mat. 17 (2011/12), no. 1, 65β106. 10.1134/S1064562411050073Search in Google Scholar
[5] P. Modabberi and M. Shahryari, Compactness conditions in universal algebraic geometry, Algebra Logic 55 (2016), no. 2, 146β172. 10.1007/s10469-016-9384-7Search in Google Scholar
[6] B. I. Plotkin, Problems in algebra inspired by universal algebraic geometry, Fundam. Prikl. Mat. 10 (2004), no. 3, 181β197. 10.1007/s10958-006-0390-5Search in Google Scholar
Β© 2017 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Random nilpotent groups, polycyclic presentations, and Diophantine problems
- An elementary proof of the group law for elliptic curves
- Cryptanalysis of a combinatorial public key cryptosystem
- Free by cyclic groups and linear groups with restricted unipotent elements
- Generic hardness of the Boolean satisfiability problem
- A remark on spherical equations in free metabelian groups
- Direct products, varieties, and compactness conditions
Articles in the same Issue
- Frontmatter
- Random nilpotent groups, polycyclic presentations, and Diophantine problems
- An elementary proof of the group law for elliptic curves
- Cryptanalysis of a combinatorial public key cryptosystem
- Free by cyclic groups and linear groups with restricted unipotent elements
- Generic hardness of the Boolean satisfiability problem
- A remark on spherical equations in free metabelian groups
- Direct products, varieties, and compactness conditions
