Definition talk:Homomorphism (Abstract Algebra)

Morphisms

I believe homomorphisms are morphisms. Certainly Wikipedia says so, and Quora. I know these are not definitive sources, but I have also heard such elsewhere. --Dfeuer (talk) 06:15, 18 January 2013 (UTC)

It's true. It's also true that $u \le v$ is a morphism in a poset category. A mapping is a morphism in the Definition:Category of Sets. Morphisms are everywhere. It's not helpful to add virtually all pages defining a mapping to the category Category:Definitions/Morphisms. There admittedly is currently a lack of application of CT to other areas covered on PW, but a more structured approach approved of by most or all of the maintenance team would be the way to go. I hope you see the distinction.

In general, maintenance in categories you wouldn't say to "master" to some extent (at the very least, to have consulted/worked through one or more source works) is not a good idea. Your work is appreciated, but currently it's best for all of us that you leave CT alone and work on areas we're convinced you are proficient in (or where the first few of your edits make us conclude you are). Thanks. --Lord_Farin (talk) 08:50, 18 January 2013 (UTC)

I was trying to organize things, not to pretend I know more than I do. If you don't think it's valuable to have a morphism category, then fine. But I feel rather strongly that an isomorphism category, including not only algebraic but also topological, etc., ones is quite reasonable. Certainly PM's move of making "isomorphism" a subcategory of abstract algebra and removing the abstract algebra categorization from pages defining isomorphisms goes the wrong way. --Dfeuer (talk) 17:24, 18 January 2013 (UTC)

Agreed on the part of isos - if I'm not mistaken, I didn't cancel your edits on those. In hindsight the current categorisation of "isomorphism" was unfortunate - OTOH, it is an understandable move for people not knowing about CT. Your efforts in organizing the site are appreciated; I just think that there are ample other areas you're (reasonably) knowledgeable about yearning for a similar treatment. Attacking those will be easier for everyone and prevents needless shouting and annoyance. --Lord_Farin (talk) 17:48, 18 January 2013 (UTC)