* terminology of (co)algebras
@ 2015-10-09 13:27 Jiri Adamek
2015-10-09 18:06 ` Michael Barr
0 siblings, 1 reply; 2+ messages in thread
From: Jiri Adamek @ 2015-10-09 13:27 UTC (permalink / raw)
To: categories net
Does anyone know who was the first author to speak about F-algebras
and/or F-coalgebras where F is a mere endofunctor? Lambek proved his
famous lemma without using any name for the objects. And Arbib and Manes
proved a number of properties but used the word "F-dynamics".
Thanks Jiri
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
^ permalink raw reply [flat|nested] 2+ messages in thread
* Re: terminology of (co)algebras
2015-10-09 13:27 terminology of (co)algebras Jiri Adamek
@ 2015-10-09 18:06 ` Michael Barr
0 siblings, 0 replies; 2+ messages in thread
From: Michael Barr @ 2015-10-09 18:06 UTC (permalink / raw)
To: Jiri Adamek; +Cc: categories net
I am not sure if I was the first, but I defined T-algebras for an
endofunctor T in my paper, Coequalizers and free triples. You can find it
at http://www.math.mcgill.ca/barr/papers/#1970s, it being my first 1970s
paper. As the name suggests, the category of T-algebras is often
tripleable.
Michael
----- Original Message -----
From: "Jiri Adamek" <adamek@iti.cs.tu-bs.de>
To: "categories net" <categories@mta.ca>
Sent: Friday, October 9, 2015 9:27:54 AM
Subject: categories: terminology of (co)algebras
Does anyone know who was the first author to speak about F-algebras
and/or F-coalgebras where F is a mere endofunctor? Lambek proved his
famous lemma without using any name for the objects. And Arbib and Manes
proved a number of properties but used the word "F-dynamics".
Thanks Jiri
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
^ permalink raw reply [flat|nested] 2+ messages in thread
end of thread, other threads:[~2015-10-09 18:06 UTC | newest]
Thread overview: 2+ messages (download: mbox.gz / follow: Atom feed)
-- links below jump to the message on this page --
2015-10-09 13:27 terminology of (co)algebras Jiri Adamek
2015-10-09 18:06 ` Michael Barr
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).