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arXiv · 1712.03801

On the Zariski topology of $\Omega$-groups

Ruvim Lipyanski
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Abstract

A number of geometric properties of $\Omega$-groups from a given variety of $\Omega$-groups can be characterized using the notions of domain and equational domain. An $\Omega$-group $H$ of a variety $\Theta$ is an equational domain in $\Theta$ if the union of algebraic varieties over $H$ is an algebraic variety. We give necessary and sufficient conditions for an $\Omega$-group $H$ in $\Theta$ to be an equational domain in this variety.

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Ruvim Lipyanski. 2017-12-11. On the Zariski topology of $\Omega$-groups. https://arxiv.org/abs/1712.03801

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