Masnevets

comments on your articles

Krull-Schmidt category: Don't we need *finite dimensional* k-vector spaces? Otherwise, take C = k-Alg, then End(k[X]) = k[X] is not local, but k[X] is indecomposable. top (mathematics): Do we need some finiteness condition (dim = 0) here? For the integers, Z/rad(Z) = Z is not semisimple because of dim = 1. —Preceding unsigned comment added by 77.4.177.232 (talk) 19:20, 16 January 2009 (UTC)

Thanks for pointing those out. I've made the relevant corrections. Masnevets (talk) 19:36, 16 January 2009 (UTC)

I agree both articles need to be adjusted. I'm not sure that dimension is the right way, but it might be good to discuss on Talk:Krull–Schmidt category and Talk:Top (mathematics). I made changes too. For your (77's) K-S counterexample, I think you don't want C=k-Alg, but rather C=k[x] modules (C any category of modules over a generic domain). For k-Alg, I think End(k[x]) is not the usual k[x]; the endomorphisms labelled 2x and x+1 do not commute, I think. The operation is function composition rather than polynomial multiplication. JackSchmidt (talk) 19:38, 16 January 2009 (UTC)

Formatting issues

Hello. Please notice this edit. TeX can't be used in the same way on Wikipedia as in normal use of TeX. In particular, the final comma or period, when placed outside of the math environment, gets misaligned, or in other ways fails to fit (sometimes it even appears alone on the next line; that varies with the window geometry). I also added seemingly needless spacing commands. The purpose of those is to force png rendering. (That is also done by some other things within TeX, including \frac, \sum, and \int, so the seemingly needless extra space isn't needed when those are used.) Michael Hardy (talk) 04:04, 25 May 2009 (UTC)

....and also this edit. Some of the issues are the same, but also: digits and parentheses should not be italicized in this context. Again, that matches TeX style. Michael Hardy (talk) 04:10, 25 May 2009 (UTC)

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