Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6826(e) ISSN 0002-9939(p)

A Characterization of Cancellation Ideals

Author(s): D. D. Anderson; Moshe Roitman
Journal: Proc. Amer. Math. Soc. 125 (1997), 2853-2854.
MSC (1991): Primary 13A15
MathSciNet review: 1415571
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: An ideal $I$ of a commutative ring $R$ with identity is called a cancellation ideal if whenever $IB=IC$ for ideals $B$ and $C$ of $R$ , then $B=C$ . We show that an ideal $I$ is a cancellation ideal if and only if $I$ is locally a regular principal ideal.

References:

1.: R. Gilmer, Multiplicative ideal theory, Queen's Papers in Pure and Applied Mathematics, vol. 90, Queen's University, Kingston, Ontario, 1992. MR 93j:13001
2.: I. Kaplansky, Topics in commutative ring theory, unpublished notes, 1971. MR 55:322

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|