Talk:List of algebras

I take it that this is a list of classes of things each of which might be described as "an algebra". In other words, the article might begin "An X algebra is an algebraic structure satisfying the following properties". Out of scope would be descriptions of various topics within algebra, where the article might begin "Y algebra is the study of various algebraic objects with properties related to being Y". That being so, I think that linear algebra, homological algebra and universal algebra are out of scope for this list. Spectral sequence (talk) 12:51, 9 August 2013 (UTC)

Good point. I have made changes accordingly. (There is a more fundamental question of if there is a point of having an article like this, but I'll not get into it.) -- Taku (talk) 13:52, 9 August 2013 (UTC)

Taku. The point is that someone could hear of several different examples of algebras and wonder what the other options there are. That is, what adjectives can preface the word "algebra". Crasshopper (talk) 17:49, 9 August 2013 (UTC)

SpectralSequence. Why not include both types and split the list? Crasshopper (talk) 17:50, 9 August 2013 (UTC)

This list is being discussed at WT:WPM#List of algebras. Sławomir Biały (talk) 16:04, 20 January 2014 (UTC)

It has been suggested that a list of examples should only include classes, not particular algebras. Thus Complex plane does not occur here, nor reference to Split-complex numbers or Dual numbers. Such exclusivity does not enhance the utility of this project, rather it perpetuates elitism, a common feature of mathematics in higher education. Per the Wikimedia Foundation Mission, a request is made here to correct this exclusion. — Rgdboer (talk) 21:38, 19 October 2025 (UTC)

The three listed are quadratic algebras, so are included in that class. Rgdboer (talk) 20:59, 4 November 2025 (UTC)