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Direct products, varieties, and compactness conditions. (English) Zbl 1401.08003
Summary: We study equationally Noetherian and \(\mathbf{q}_{\omega}\)-compact varieties of groups, rings and monoids. Moreover, we describe equationally Noetherian direct powers for these algebraic structures.

08B25 Products, amalgamated products, and other kinds of limits and colimits
08A45 Equational compactness
03C05 Equational classes, universal algebra in model theory
14A99 Foundations of algebraic geometry
Full Text: DOI
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