From: categories <cat-dist@mta.ca>
To: categories <categories@mta.ca>
Subject: Re: injectivity
Date: Thu, 29 May 1997 14:33:57 -0300 (ADT) [thread overview]
Message-ID: <Pine.OSF.3.90.970529143348.24983D-100000@mailserv.mta.ca> (raw)
Date: Wed, 28 May 1997 11:22:00 +0200
From: Dr. Reinhard B/rger (Prof. Dr. Pumpl^nn) <Reinhard.Boerger@FernUni-Hagen.de>
Michael Barr mentions the example Ab. There is even an easier reason
why tensor products of injectives in Ab are injective and it even
injectivity of one factor suffices: Injecitive abelian groups
coincide with divisible abelian groups and a tensor product is
divisible if one factor is. This holds in a more general sitution,
e.g. for modules over a principal ideal domain. It might be worthwile
to look for a general (categorical) reason for this phenomenon.
Greetings
Reinhard Boerger
next reply other threads:[~1997-05-29 17:33 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
1997-05-29 17:33 categories [this message]
-- strict thread matches above, loose matches on Subject: below --
1997-05-16 1:17 injectivity categories
1997-05-09 16:11 injectivity categories
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