Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 44, No. 1, pp. 75-98 (2003)

Previous Article

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home



Generalized GCD Rings II

Majid M. Ali and David J. Smith

Department of Mathematics, University of Auckland, Auckland, New Zealand; e-mail:; e-mail:

Abstract: Greatest common divisors and least common multiples of quotients of elements of integral domains have been investigated by Lüneburg and further by Jäger. In this paper we extend these results to invertible fractional ideals. We also lift our earlier study of the greatest common divisor and least common multiple of finitely generated faithful multiplication ideals to finitely generated projective ideals.

Keywords: greatest common divisor, least common multiple, invertible ideal, projective ideal, multiplication ideal, flat ideal, Prüfer domain, semihereditary ring, Bezout domain, p.p. ring

Classification (MSC2000): 13A15; 13F05

Full text of the article:

Electronic version published on: 3 Apr 2003. This page was last modified: 4 May 2006.

© 2003 Heldermann Verlag
© 2003--2006 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition