This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||||||||||
|
It is strange to speak of rational functions over a ring that is not a field. The reference currently cited defines the field of rational functions only over a ground field K. The sentence could be changed to assume that R is a field, but then this becomes just an instance of the field of fractions of an integral domain, so it fits better at field of fractions, not here. (In fact, this example already appears there.) Ebony Jackson ( talk) 05:18, 3 December 2013 (UTC)
Moved as proposed, without opposition. bd2412 T 15:01, 28 May 2015 (UTC)
Total quotient ring → Total ring of fractions – Mainly because I like the new name better :) More seriously, the new name seems more standard and accurate. The field of fractions used to be called the quotient field, but because of confusion with quotient ring, the terminology is no longer in use. It makes sense to adopt the modern terminology here as well.--Relisted. George Ho ( talk) 17:27, 1 May 2015 (UTC) Taku ( talk) 15:00, 24 April 2015 (UTC)
This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||||||||||
|
It is strange to speak of rational functions over a ring that is not a field. The reference currently cited defines the field of rational functions only over a ground field K. The sentence could be changed to assume that R is a field, but then this becomes just an instance of the field of fractions of an integral domain, so it fits better at field of fractions, not here. (In fact, this example already appears there.) Ebony Jackson ( talk) 05:18, 3 December 2013 (UTC)
Moved as proposed, without opposition. bd2412 T 15:01, 28 May 2015 (UTC)
Total quotient ring → Total ring of fractions – Mainly because I like the new name better :) More seriously, the new name seems more standard and accurate. The field of fractions used to be called the quotient field, but because of confusion with quotient ring, the terminology is no longer in use. It makes sense to adopt the modern terminology here as well.--Relisted. George Ho ( talk) 17:27, 1 May 2015 (UTC) Taku ( talk) 15:00, 24 April 2015 (UTC)