Reducing Fractions to Lowest Terms

Daniel D. Anderson () and Erik Hasse ()
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Daniel D. Anderson: The University of Iowa, Department of Mathematics
Erik Hasse: The University of Iowa, Department of Mathematics

A chapter in Rings, Polynomials, and Modules, 2017, pp 1-11 from Springer

Abstract: Abstract The purpose of this paper is to investigate putting or reducing a fraction to lowest terms in a general integral domain. We investigate the integral domains in which every fraction can be (uniquely) put in or reduced to lowest terms.

Keywords: ACCP; Atomic domain; GCD domain; Lowest terms; gcd; Weak gcd; Primary 13G05; Secondary 13A05; 13F15 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-65874-2_1

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DOI: 10.1007/978-3-319-65874-2_1

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