Topologizability of countable equationally Noetherian algebras

DOI10.1007/s10469-013-9226-9zbMath1284.08016OpenAlexW2005731812MaRDI QIDQ384392

Matvei Kotov

Publication date: 27 November 2013

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

Full work available at URL: https://doi.org/10.1007/s10469-013-9226-9

zbMATH Keywords

equationally Noetherian algebratopologizable algebra

Mathematics Subject Classification ID

Topological and ordered rings and modules (16W80) Algebraic structures (08A99)

Related Items (3)

Categorically closed countable semigroups ⋮ Absolutely closed semigroups ⋮ Topologizable structures and Zariski topology

Cites Work

• Equational Noetherianness of rigid soluble groups.
• Algebraic geometry over algebraic structures. IV: Equational domains and codomains
• Algebraic geometry over algebraic structures. III: Equationally Noetherian property and compactness
• An example of a semigroup which admits only the discrete topology
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• Two theorems about equationally Noetherian groups
• The property of being equationally Noetherian for some soluble groups
• Unification theorems in algebraic geometry
• Diophantine geometry over groups VII: The elementary theory of a hyperbolic group
• An Infinite Groupoid which Admits only Trivial Topologies
• The number of non-solutions of an equation in a group
• Ultrafilters and topologies on groups
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