Rigid solvable groups. Algebraic geometry and model theory Full article
| Source | Groups and Model Theory: GAGTA BOOK 2 Compilation, 2021. 234 c. |
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| Output data | Year: 2021, Pages: 193-229 Pages count : 37 DOI: 10.1515/9783110719710-005 | ||
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Abstract:
We give a survey of the papers of the author and A. Miasnikov on rigid solvable groups. We highlight the following results: equationally Noetherian property of rigid groups is proved, dimension theory for rigid groups is constructed, the formulation of the Hilbert's Nullstellensatz for rigid groups is found and this theorem is proved, the completeness and ω-stability of the theory of divisible m-rigid groups is proved, saturated models are described. © 2021 Walter de Gruyter GmbH, Berlin/Boston.
Cite:
Romanovskii N.
Rigid solvable groups. Algebraic geometry and model theory
In compilation Groups and Model Theory: GAGTA BOOK 2. 2021. – C.193-229. DOI: 10.1515/9783110719710-005 Scopus OpenAlex
Rigid solvable groups. Algebraic geometry and model theory
In compilation Groups and Model Theory: GAGTA BOOK 2. 2021. – C.193-229. DOI: 10.1515/9783110719710-005 Scopus OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85107321184 |
| OpenAlex: | W3163715715 |