Vol. 33, No. 3, 1970

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 332: 1  2
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Principal multiplicative lattices

Melvin F. Janowitz

Vol. 33 (1970), No. 3, 653–656
Abstract

P. J. McCarthy has recently proved that if R is a Noetherian ring with unity, then every ideal of R is a principal element of L(R), the lattice of ideals of R, if and only if R is a multiplication ring. It is shown here that an arbitrary commutative ring R with unity is a Noetherian multiplication ring if and only if every ideal of R is a principal element of L(R).

Mathematical Subject Classification
Primary: 13.25
Milestones
Received: 18 August 1969
Published: 1 June 1970
Authors
Melvin F. Janowitz