Email this article Compactness Conditions in Universal Algebraic Geometry
- Authors: Modabberi P.1, Shahryari M.1
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Affiliations:
- Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz
- Issue: Vol 55, No 2 (2016)
- Pages: 146-172
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/233979
- DOI: https://doi.org/10.1007/s10469-016-9384-7
- ID: 233979
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Abstract
Different types of compactness in the Zariski topology are explored: for instance, equational Noetherianity, equational Artinianity, qω-compactness, and uω-compactness. Moreover, general results on the Zariski topology over algebras and groups are proved.
Keywords
algebraic structures, equations, algebraic sets, radical ideal, coordinate algebra, Zariski topology, equationally Noetherian algebras, qω-compactness, uω-compactness, metacompact algebras, metacompact spaces, equationally Artinian algebras, prevarieties, varieties, free algebras, equational domains, Hilbert’s basis theorem
About the authors
P. Modabberi
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz
Author for correspondence.
Email: p_modabberi@tabrizu.ac.ir
Iran, Islamic Republic of, Tabriz
M. Shahryari
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz
Email: p_modabberi@tabrizu.ac.ir
Iran, Islamic Republic of, Tabriz
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