User talk:Ebony Jackson

False statement about a rng homomorphism?

The article Rng (algebra) contains the evidently false statement

If R and S are rings, a rng homomorphism f: R → S whose image contains a non-zero-divisor maps 1_R to 1_S.

A relevant diff is here. 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 ...". —Quondum 16:04, 6 December 2020 (UTC)

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 notable enough to be included in the article, however. Ebony Jackson (talk) 19:17, 6 December 2020 (UTC)

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 zero-divisor".

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". —Quondum 20:42, 6 December 2020 (UTC)

I guess you could try deleting the sentence, and see if anyone complains. I think it was not I who added the sentence originally. Ebony Jackson (talk) 21:24, 6 December 2020 (UTC)

Wow, it goes a way back: here, it seems, though it was since sharpened. —Quondum 21:58, 6 December 2020 (UTC)

An AfD of possible interest to you

In Wikipedia:Articles for deletion/2 × 2 real matrices, there is a mention of the thread that you have opened in Talk:Real projective line. You may be interested to contribute there. D.Lazard (talk) 11:47, 18 February 2021 (UTC)

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Set (mathematics)

Hello! I have a short question for you: what is the intended readership of Wikipedia articles about mathematics, in your view? Is it mathematicians? --Jonathan G. G. Lewis 01:33, 28 January 2022 (UTC)

It depends on the article. If it is an article on an advanced topic such as Perfectoid space, 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 Set (mathematics), 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. Ebony Jackson (talk) 16:00, 31 January 2022 (UTC)

Wikipedia's stated Wikipedia:Policies and guidelines#­Content 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 (UTC)

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Column vector

Do you agree with the change in definition of a column vector as a "column of entries" instead of a $n\times 1$ matrix? Madyno (talk) 21:52, 30 November 2022 (UTC)

I think it is worth mentioning both, so I edited Row and column vectors to reflect this. Ebony Jackson (talk) 02:46, 3 December 2022 (UTC)

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