Talk:Monoid ring

Semigroup ring

Since semigroup ring redirects here, the article should probably mention semigroups somewhere. A move to the more general title might then be appropriate? Deltahedron (talk) 20:24, 21 October 2012 (UTC)[reply]

Free algebra

I have added a "see also" for Free algebra, but there should probably be some sort of merger here. Deltahedron (talk) 21:16, 21 October 2012 (UTC)[reply]

Request move

The following discussion is an archived discussion of a requested move. Please do not modify it. Subsequent comments should be made in a new section on the talk page. Editors desiring to contest the closing decision should consider a move review. No further edits should be made to this section.

The result of the move request was: No consensus to move. Having relisted this and sought input from WP:MATHEMATICS, there are now ~~two~~ three reasonable oppose votes, and a weak support in addition to the nominator. No overarching reason is given as to why the move should go ahead, so closing as no consensus. (non-admin closure) — Amakuru (talk) 16:54, 7 January 2014 (UTC)[reply]

Monoid ring → Monoid algebra – I do not have a compelling reason for the new name, but I also don't see why "monoid ring" is preferable. I personally use "monoid algebra". --Relisted. — Amakuru (talk) 01:04, 29 December 2013 (UTC) Taku (talk) 13:27, 19 December 2013 (UTC)[reply]

Although mathematically "monoid algebra" makes more sense, my feeling is that "monoid ring" is the more common name for this in the literature. Certainly "group ring" is more common than "group algebra". Therefore I would suggest making "monoid algebra" a redirect to "monoid ring". Ebony Jackson (talk) 15:58, 19 December 2013 (UTC)[reply]

Comment - I am relisting this, and have put a comment at Wikipedia_talk:WikiProject_Mathematics in the hope of getting more input into the debate. Thanks — Amakuru (talk) 01:04, 29 December 2013 (UTC)[reply]

Weak support – It is not clear which is the most common term: Google scholar gives 792 hits for "monoid ring" (with quotes) and 836 for "monoid algebra". IMO the choice of the term depends on the usage: "monoid ring" is more convenient when the ground ring is the ring of integers, and "monoid algebra" is better for other ground rings. This leads me to support the move if the article is edited for calling "monoid algebra" the notion with a specified ground ring and "monoid ring" the case of a monoid algebra over the integers (which has an universal property which does not depends on any ground ring). By the way, I believe that the same may be said about "group ring" and "group algebra". This is not contradicted by the fact that group algebra is about other notions: none of them is called "group algebra". D.Lazard (talk) 09:46, 29 December 2013 (UTC)[reply]

Oppose. The literature shows no preference of one term over the other, so I think the title should be kept in the spirit if WP:RETAIN. I don't find any mathematical distinction between the two terms very compelling. Sławomir Biały (talk) 15:26, 29 December 2013 (UTC)[reply]
Oppose. For many, using "algebra" for R[M] carries a connotation that R is either a field or is at least a commutative. Since group rings and monoid rings can be defined over not-commutative R, and they are not R really R algebras in the true sense of the word, this is inadvisable. Rschwieb (talk) 14:49, 30 December 2013 (UTC)[reply]

The above discussion is preserved as an archive of a requested move. Please do not modify it. Subsequent comments should be made in a new section on this talk page or in a move review. No further edits should be made to this section.