Journal Menu

Abstracting and Indexing
Aims and Scope
Article Processing Charges
Author Guidelines
Bibliographic Information
Contact Information
Editorial Board
Editorial Workflow
Reviewers Acknowledgment
Subscription Information

Abstract
Full-Text PDF

International Journal of Mathematics and Mathematical Sciences
Volume 3 (1980), Issue 1, Pages 15-28
doi:10.1155/S0161171280000026

On block irreducible forms over Euclidean domains

W.Edwin Clark and J.J. Liang

Department of Mathematics, University of South Florida, Tampa 33620, Florida, USA

Abstract

In this paper a general canonical form for elements in a ring Euclidean with respect to a real valuation is established. It is also shown that this form is unique and minimal thus gives the arithmetical weight of an element with respect to a radix.