On the Commutativity of Ultraproducts with Direct Products

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Sep 1991Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 113, page 213 (issn: 0002-9939,

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Authors: Michel Hébert;

doi: 10.2307/2048461 , 10.1090/s0002-9939-1991-1086582-2

On the Commutativity of Ultraproducts with Direct Products

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Abstract

We show that an ultraproduct of direct products of structures is elementarily equivalent to a direct product (naturally defined over an ultraproduct of sets!) of ultraproducts of these structures.

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