On the utility of Robinson-Amitsur ultrafilters. II
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🧮 math.RA
math.LO
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ultraproductsalgebraicresultsystemsultrafiltersapplicabilityarbitraryarxiv
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We extend the result of arXiv:0911.5414 about embedding of ideal-determined algebraic systems into ultraproducts, to arbitrary algebraic systems, and to ultraproducts over $\kappa$-complete ultrafilters. We also discuss the scope of applicability of this result, and correct a mistake from the previous paper concerning homomorphisms from ultraproducts.
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