Compactness Conditions in Universal Algebraic Geometry
Copyright policy )Compactness Conditions in Universal Algebraic Geometry
In this article, the properties of being equational noetherian, $q_��$ and $u_��$-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
- University of Tabriz Iran (Islamic Republic of)
coordinate algebra, Generalizations (algebraic spaces, stacks), Equational compactness, Mathematics - Rings and Algebras, Primary 03C99, Secondary 08A99, 14A99, algebraic structures, algebraic sets, \(u_\omega\)-compactness, equationally Artinian algebras, Hilbert's basis theorem, radical ideal, equationally Noetherian algebras, free algebras, varieties, Rings and Algebras (math.RA), equations, metacompact spaces, equational domains, FOS: Mathematics, Zariski topology, \(q_\omega\)-compactness, metacompact algebras, prevarieties
coordinate algebra, Generalizations (algebraic spaces, stacks), Equational compactness, Mathematics - Rings and Algebras, Primary 03C99, Secondary 08A99, 14A99, algebraic structures, algebraic sets, \(u_\omega\)-compactness, equationally Artinian algebras, Hilbert's basis theorem, radical ideal, equationally Noetherian algebras, free algebras, varieties, Rings and Algebras (math.RA), equations, metacompact spaces, equational domains, FOS: Mathematics, Zariski topology, \(q_\omega\)-compactness, metacompact algebras, prevarieties
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