From: John Beachy Subject: Graduate Algebra Seminar Date: Wed, 15 Sep 1999 16:48:24 -0500 (CDT) Newsgroups: [missing] To: allgrads@math.niu.edu, mathfac@math.niu.edu Keywords: Goldie's theorem (noncommutative fields of fractions) [deletia --djr] Goldie's theorem was proved in 1958. It extends the construction of the field of fractions of an integral domain to the noncommutative situation, where the appropriate analog of a field is that of a matrix ring with entries in a skew field (division ring).