From: Ross Street <ross.street@mq.edu.au>
To: bourn@lmpa.univ-littoral.fr
Cc: "Categories list" <categories@mta.ca>
Subject: Re: "Semi-additive" seems to be it
Date: Tue, 10 Jan 2012 13:35:27 +1100 [thread overview]
Message-ID: <E1Rkd6g-0004g3-Ki@mlist.mta.ca> (raw)
In-Reply-To: <E1RkJol-0006bs-In@mlist.mta.ca>
Dear All
The concept of category enriched in commutative monoids is a very
basic structure and it is important to find a suitable name.
I must say I like the term "linear" mentioned by Dominique since the
term "k-linear" is commonly used for "enriched in vector spaces over k".
Hence there is no conflict if we extend to the case where k is a ring
or a rig.
Since the natural numbers is the basic example of a rig, we can drop
the k in this case.
Best wishes,
Ross
On 09/01/2012, at 7:47 PM, bourn@lmpa.univ-littoral.fr wrote:
> By the way, I studied such kind of categories (among others) in:
> "Intrinsic centrality and associated classifying properties"
> J. of Algebra, 256, 2002, 126-145.
> I called them "linear", following Lawvere and Schanuel's "Conceptual
> Mathematics".
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next prev parent reply other threads:[~2012-01-10 2:35 UTC|newest]
Thread overview: 11+ messages / expand[flat|nested] mbox.gz Atom feed top
2012-01-09 8:47 bourn
2012-01-09 19:39 ` Robin Cockett
2012-01-13 23:36 ` What about biproducts? George Janelidze
2012-01-14 20:12 ` Michael Barr
2012-01-14 21:13 ` rlk
2012-01-10 2:35 ` Ross Street [this message]
2012-01-10 15:07 ` "Semi-additive" seems to be it Todd Trimble
[not found] ` <E1Rm52K-0002ko-Nm@mlist.mta.ca>
2012-01-16 9:41 ` What about biproducts? Vaughan Pratt
-- strict thread matches above, loose matches on Subject: below --
2012-01-07 12:38 "Semi-additive" seems to be it Michael Barr
2012-01-07 19:48 ` George Janelidze
2012-01-08 21:14 ` FEJ Linton
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