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328:, then the article should be aimed mainly at mathematicians and mathematics students, because those are the groups of people who are likely to be reading such an article, and because an article that truly tried to explain it to non-mathematicians would be far too long. For more elementary topics, such as
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To me, it feels out of place to be drawing attention to properties of an identity element in an article about rngs, at least where the relation to rings is not being explored more generally. In this context, an identity element of a subrng is in effect merely "the biggest idempotent of that subrng".
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I think that the statement is actually true. If the image of f contains a non-zerodivisor s, then f(r) = s for some r in R, and then f(1_R) s = f(1_R) f(r) = f(1_R r) = f(r) = s = 1_S s, and cancelling the non-zerodivisor s shows that f(1_R) = 1_S. One could argue about whether such a statement is
332:, the article should be written at different levels - part of it should be written for a very broad audience, and part of it should be aimed at readers with more background, but as with all mathematics, what is most important is that explanations be correct and not vague.
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start with being clear, and avoid esoteric terms. The next guideline is to be concise as possible, but not overly concise. It seems a shame to limit readership to mathematicians, who should already know all this content anyway. --Jonathan G. G. Lewis 23:45, 1 July 2022
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Apologies, I was getting confused by terminology that I know well enough for it to feel familiar so that I don't look closely, but which is rusty enough for me that I get it wrong. I was unthinkingly interpreting "non-zero-divisor" as "non-zero
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Hello! I have a short question for you: what is the intended readership of
Knowledge articles about mathematics, in your view? Is it mathematicians? --Jonathan G. G. Lewis 01:33, 28 January 2022 (UTC)
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123:. I'm not sure of the intent of including the statement. If I were to correct it without removing it, I would change it to "... whose image does not contain a non-zero-divisor ...". —
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I guess you could try deleting the sentence, and see if anyone complains. I think it was not I who added the sentence originally.
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