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[[User:Baccala@freesoft.org|Baccala@freesoft.org]] ([[User talk:Baccala@freesoft.org|talk]]) 05:01, 30 May 2008 (UTC)
:There's no factorisation into irreducibles here. The function sin has infinitely many pairwise non-associated irreducible factors (to wit (z-nπ). [[User talk:Algebraist|Algebraist]] 13:08, 30 May 2008 (UTC)
::Good point, and I guess that's the answer to my question, but why does the factorization have to be finite? I know that's the way the article is worded, and that's the standard definition in the literature (I just looked at Lang's book) but what's wrong with requiring just a bijection between the irreducibles, finite or not? [[User:Baccala@freesoft.org|Baccala@freesoft.org]] ([[User talk:Baccala@freesoft.org|talk]]) 19:51, 30 May 2008 (UTC)
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