Vol. 105, No. 1, 1983

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
Super-primitive elements

Ira J. Papick

Vol. 105 (1983), No. 1, 217–226
Abstract

Given an extension, R T, of commutative integral domains with identity, we say an element u T is super-primitive over R, if u is the root of a polynomial f R[x] with cR(f)1 = R, i.e., a super-primitive polynomial. The main purpose of this paper is to provide “super-primitive” analogues to some work of Gilmer-Hoffmann and Dobbs concerning primitive elements. (An element u T is called primitive over R, if u is the root of a polynomial f R[x] with cR(f) = R.)

Mathematical Subject Classification 2000
Primary: 13B20, 13B20
Secondary: 13A15, 13G05
Milestones
Received: 18 August 1981
Published: 1 March 1983
Authors
Ira J. Papick