From: boerger <Reinhard.Boerger@fernuni-hagen.de>
To: categories@mta.ca
Subject: Re: Reference?
Date: Tue, 3 Nov 1998 12:19:11 +0100 [thread overview]
Message-ID: <199811031118.HAA12375@mailserv.mta.ca> (raw)
In-Reply-To: <Pine.LNX.3.95.981029135657.24182G-100000@triples.math.mcgill.ca>
The result that finite products coincide with finite coproducts in
categories enriched commutative monoids can be found in Herrlich`s
and Strecker`s book under 40.8 (p.308 in the 2nd edition). The
converse is given there under 4.12 (p.310). They use the term
"semi-additive category", which I am also used to. Though I agree
with Bill Lawvere that prefixes like "semi" should be omitted if
possible, I am not convinced by his suggestion "linear categeory"
because for me subtraction seems essential fo linear algebra. Maybe
somebody invents a better term.
Greetings
Reinhard
next prev parent reply other threads:[~1998-11-03 11:19 UTC|newest]
Thread overview: 4+ messages / expand[flat|nested] mbox.gz Atom feed top
1998-10-29 19:00 Reference? Michael Barr
1998-11-03 11:19 ` boerger [this message]
1998-10-30 9:26 Reference? Dr. P.T. Johnstone
1998-10-30 16:02 Reference? F W Lawvere
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