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- W1036696047 abstract "The ultraproduct construction is an algebraic operation whose importance derives from its model-theoretic properties. The algebraic character of the construction makes it attractive tool to employ in giving an account of applications of model theory to algebra. This chapter presents basic properties of ultraproducts and some of their applications to algebra. The chapter is divided into three parts. The first part, Basics, presents the definitions of ultrafilters and ultraproducts and proves the fundamental theorem of ultraproducts. The last part discusses the functorial properties of ultraproducts. The rest of the results are given in two parts, Compactness and Saturation, whose titles refer to the key model-theoretic properties of ultraproducts used in proving these results." @default.
- W1036696047 created "2016-06-24" @default.
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- W1036696047 date "1977-01-01" @default.
- W1036696047 modified "2023-10-14" @default.
- W1036696047 title "Ultraproducts for Algebraists" @default.
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- W1036696047 doi "https://doi.org/10.1016/s0049-237x(08)71099-1" @default.
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