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Algebraist (talk | contribs) →Rings of holomorphic functions: interesting idea |
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::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)
:::So you want unique factorization to mean that each element (up to associates) is uniquely determined by the powers of irreducibles that divide it? That's an interesting idea, and one I haven't seen before. (of course, it has no place on WP until someone publishes it) [[User talk:Algebraist|Algebraist]] 20:34, 30 May 2008 (UTC)
::::Well, I'm adding this as a counter-example, using (basically) your explaination. [[User:Baccala@freesoft.org|Baccala@freesoft.org]] ([[User talk:Baccala@freesoft.org|talk]]) 02:16, 31 May 2008 (UTC)
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