Vol. 75, No. 2, 1978

Recent Issues
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 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 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Regular sequences and lifting property

Manfred Herrmann and Rolf Schmidt

Vol. 75 (1978), No. 2, 449–453
Abstract

Let A be a commutative noetherian ring, E a finite A-module and let M be an arbitrary A-module. Let φ : E M be a homomorphisn of A-modules.

In this note we prove in an elementary way that an M-sequence x = (x1,,xn) being taken to lie in the (Jacobson-) radical rad (A) of A, is also an E-sequence if xE is the contraction φ1(xM) of xM in E.

Mathematical Subject Classification 2000
Primary: 13C99
Milestones
Received: 20 April 1977
Published: 1 April 1978
Authors
Manfred Herrmann
Rolf Schmidt