Vol. 74, No. 1, 1978

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
Algebraic numbers, a constructive development

William H. Julian, Ray Mines, III and Fred Richman

Vol. 74 (1978), No. 1, 91–102
Abstract

The theory of algebraic numbers is developed in the context of abstract fields with equality and inequality. Of classical interest is that any commutative local ring without nilpotent elements may be considered a field in this context. Procedures are given for deciding whether two complex algebraic numbers are equal or not, for factoring polynomials over algebraic number fields and for deciding whether a given algebraic number is in a given algebraic number field.

Mathematical Subject Classification 2000
Primary: 03F65
Secondary: 12L05
Milestones
Received: 17 March 1977
Published: 1 January 1978
Authors
William H. Julian
Department of Mathematical Sciences
New Mexico State University
Las Cruces NM 88003
United States
Ray Mines, III
Fred Richman