Comapactness Conditions in Universal Algebraic Geometry

Abstract

In this article, the properties of being equational noetherian, $q_{\omega }$ and $u_{\omega }$-compactness, and equational Artinian are studied from the perspective of the Zariski topology. The equational conditions on the relative free algebras of arbitrary varieties are also investigated.

This paper is published in Algebra and Logic (2016, Vol. 55, No. 2) in English and Russian. The journal version has some errors, so we uploaded a correct version here

References in corpus (2)

• Algebraic geometry over algebraic structures III: Equationally Noetherian property and compactness
• Equational Noetherian Algebras and Chain Conditions