Vol. 56, No. 1, 1975

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Fractional elements in multiplicative lattices

Richard G. Burton

Vol. 56 (1975), No. 1, 35–49
Abstract

An abstract study of the theory of fractional ideals of a commutative ring is begun. In particular, the definition of principal element in a multiplicative lattice L is used to define a lattice of fractional elements, L, associated with L. As one application of this definition a theory of Dedekind lattices is developed. This construction also allows the development of an abstract theory of integral closure for a Noether lattice. This theory will be presented in a further paper.

Mathematical Subject Classification 2000
Primary: 13A15
Secondary: 06A20
Milestones
Received: 26 October 1973
Published: 1 January 1975
Authors
Richard G. Burton