From: John Beachy <beachy@math.niu.edu>
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).