Talk:Distributive lattice

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Finally distributivity entails several other pleasant properties. For example, an element of a distributive lattice is meet-prime if and only if it is meet-irreducible, though the latter is in general a weaker property. By duality, the same is true for join-prime and join-irreducible elements.

Can someone provide a reference for this?--Malcohol 09:01, 16 October 2006 (UTC)[reply]

I have added a proof in Distributive lattice/Proofs. Ceroklis 21:14, 28 September 2007 (UTC)[reply]

External links

A link to a short document providing equivalent statements of distributivity was recently dismissed as spam. I do not understand the reasoning behind this. Surely you cannot argue that the document has NO merit. The material is directly relevant to the article. If you think it has LITTLE merit, then the "Related Links" section is precisely where it belongs. If you think it has MUCH merit, then it should have been incorporated into the article rather than deleted. Austinmohr (talk) 04:04, 20 March 2010 (UTC)[reply]

Hello, I removed the link for three reasons. First, because Wikipedia is not a collection of links. Although one or two external links may be appropriate, it's better to add information to the article, with references to reliable sources. External links sections can, over time, become swamped with links. Links should only be included if they add something to the article that would be missing if the article ever became a Featured Article; ie. it provides a unique resource that couldn't be provided by Wikipedia. I couldn't see anything when I followed this link that couldn't be added to the article. Please see Wikipedia:External links#Links normally to be avoided for more information. I would recommend you add useful information to the article, and reference it to reliable sources.

Secondly, the link is to a PDF file. Although that would be fine as a reference, it's best not have links in the EL section that require a reader to have an external application or plugin to read. This is also covered by Wikipedia:External links#Links normally to be avoided.

Thirdly, I was concerned by the fact that you appear to be linking to your own website, which is considered a conflict of interest, and could be seen as External link spamming.

Thankyou for bringing this up here, where others can weigh in if they wish to. If you have further concerns, feel free to ask. If you want other opinions on this (and they aren't forthcoming here) then you can also ask at Wikipedia:External links/Noticeboard. Regards, --Beloved Freak 08:52, 20 March 2010 (UTC)[reply]

And I meant to say that I have no particular knowledge of distributive lattices, so if others that do deem this to be a valuable link, then that's fine, but it should be someone unconnected to the website.--Beloved Freak 09:08, 20 March 2010 (UTC)[reply]

I am the author of Modular lattice. I saw your link here and the one at that article and decided not to bother doing anything about it at once, but I agree with Belovedfreak. Your notes provide very little insight. Moreover: There are free lecture notes available on the net, by distinguished lattice theorists and universal algebraists, that contain the same information, plus proofs, plus a lot more. It's absurd to link to a mere short list of equivalent properties. It might be useful for someone as a handy reference, but that's not sufficient reason to include the link. Hans Adler 11:48, 20 March 2010 (UTC)[reply]

Confused by intro

Will someone take the time to explain what is meant by the operations of "join" and "meet"? If articles about these operations exist a hyperlink will most likely suffice. 134.29.231.11 (talk) 21:49, 14 December 2011 (UTC)[reply]