The property of being equationally Noetherian for some soluble groups

DOI10.1007/S10469-007-0003-5zbMath1156.20032OpenAlexW2073323605MaRDI QIDQ3546070

N. S. Romanovskii, Chander Kanta Gupta

Publication date: 18 December 2008

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-007-0003-5

zbMATH Keywords

algebraic setsequationally Noetherian groupsfree soluble groups

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Solvable groups, supersolvable groups (20F16) Extensions, wreath products, and other compositions of groups (20E22) Quasivarieties and varieties of groups (20E10)

Related Items (16)

Model-theoretic aspects of the theory of divisible rigid soluble groups ⋮ Topologizability of countable equationally Noetherian algebras ⋮ Algebraic geometry over algebraic structures. II: Foundations ⋮ Krull dimension of solvable groups. ⋮ Representations via differential algebras and equationally Noetherian algebras ⋮ Divisible rigid groups. ⋮ Equational Noetherianness of rigid soluble groups. ⋮ Irreducible algebraic sets over divisible decomposed rigid groups. ⋮ Divisible rigid groups. Algebraic closedness and elementary theory ⋮ Irreducibility of an affine space in algebraic geometry over a group. ⋮ Equations and algebraic geometry over profinite groups. ⋮ Universal theories for rigid soluble groups. ⋮ Coproducts of rigid groups. ⋮ Homomorphisms to acylindrically hyperbolic groups I: Equationally noetherian groups and families ⋮ Verbally and existentially closed subgroups of free nilpotent groups. ⋮ Logical aspects of the theory of divisible rigid groups.

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