Semidomains and Metabelian Product of Metabelian Lie Algebras
E. Daniyarova, I. Kazachkov, V. Remeslennikov

TL;DR
This paper advances the construction of algebraic geometry over metabelian Lie algebras by exploring semidomains and their role in the metabelian product, contributing to a series of foundational works.
Contribution
It introduces new concepts of semidomains and analyzes the metabelian product of Lie algebras, expanding the algebraic geometric framework for metabelian structures.
Findings
Development of algebraic geometric methods for metabelian Lie algebras
Characterization of semidomains within this context
Insights into the structure of metabelian products
Abstract
This paper is the third in a series of papers, the aim of which is to construct algebraic geometry over metabelian Lie algebras.
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