English

Comapactness Conditions in Universal Algebraic Geometry

Rings and Algebras 2016-09-23 v5

Abstract

In this article, the properties of being equational noetherian, qωq_{\omega} and uωu_{\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.

Keywords

Cite

@article{arxiv.1401.4389,
  title  = {Comapactness Conditions in Universal Algebraic Geometry},
  author = {P. Modabberi and M. Shahryari},
  journal= {arXiv preprint arXiv:1401.4389},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-22T02:48:24.147Z