Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On the commutativity of ultraproducts with direct products

Author: Michel Hébert
Journal: Proc. Amer. Math. Soc. 113 (1991), 213-216
MSC: Primary 03C20; Secondary 03C40
MathSciNet review: 1086582
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 03C20, 03C40

Retrieve articles in all journals with MSC: 03C20, 03C40

Additional Information

PII: S 0002-9939(1991)1086582-2
Keywords: Ultraproduct
Article copyright: © Copyright 1991 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia