From: Ross Street <ross.street@mq.edu.au>
To: "Michael Barr, Prof." <barr.michael@mcgill.ca>
Cc: duskgoo <duskgoo@gmail.com>, David Yetter <dyetter@ksu.edu>,
Categories mailing list <categories@mq.edu.au>
Subject: Re: T-algebras in CAT v. categories in T-alg
Date: Fri, 22 Mar 2024 23:34:51 +0000 [thread overview]
Message-ID: <E7D8C001-44FC-446D-8FB7-1D7606CD6C49@mq.edu.au> (raw)
In-Reply-To: <YQXPR01MB3927BBA7E5AD929BAA345B359C312@YQXPR01MB3927.CANPRD01.PROD.OUTLOOK.COM>
But monoids for Cartesian product in abelian groups are still abelian groups too.
Remember which monoidal structure is involved in your monoid concept!
Ross
Sent from my iPhone
> On 23 Mar 2024, at 6:15 am, Michael Barr, Prof. <barr.michael@mcgill.ca> wrote:
>
> I think Dusko is right. Monoids in the category of abelian groups are rings while abelian groups in the category of monoids are simply abelian groups.
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next prev parent reply other threads:[~2024-03-23 0:38 UTC|newest]
Thread overview: 9+ messages / expand[flat|nested] mbox.gz Atom feed top
2024-03-21 21:25 David Yetter
2024-03-21 23:18 ` Dusko Pavlovic
2024-03-22 15:21 ` Michael Barr, Prof.
2024-03-22 22:04 ` John Baez
2024-03-23 8:58 ` Dusko Pavlovic
2024-03-22 23:34 ` Ross Street [this message]
[not found] <5e8198006ad348529990101303d33ed5@EX16-02.ad.unipi.it>
2024-03-22 9:07 ` Andrea Corradini
2024-03-22 10:03 ` Uwe Egbert Wolter
2024-03-22 10:39 ` Martti Karvonen
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