Year of Award: 1972
Publication Information: The American Mathematical Monthly, vol. 78, 1971, pp. 596-615
Summary: Addresses the central problem of finding fields of fractions - part of the problem of constructing rings of fractions.
About the Author: (from The American Mathematical Monthly, vol. 78, (1971)) Paul M. Cohn did his Cambridge Ph.D. under Philip Hall, and he has held positions at the Univ. de Nancy, Manchester University, Queen Mary College London, and Bedford College, London. He has spent leaves-of-absence at Yale Univ., Univ. of Chicago, and Rutgers. He has published extensively in universal algebra and in many branches of algebra; in 1965-67 he was the Secretary of the London Mathematical Society. His books are Lie Groups (Cambridge Univ. Press 1957), Linear Equations (Routledge and Kegan Paul 1958), Solid Geometry (Rutledge and Kegan Paul 1961), and Universal Algebra (Harper and Row 1965).