Vol. 220, No. 1, 2005

Download This Article
with up-to-date links in citations
Download this article. For Screen
For Printing
Recent Issues
Vol. 243: 1  2
Vol. 242: 1  2
Vol. 241: 1  2
Vol. 240: 1  2
Vol. 239: 1  2
Vol. 238: 1  2
Vol. 237: 1  2
Vol. 236: 1  2
Online Archive
Volume:
Issue:
     
Volumes 1–176are stored at Project Euclid
The Journal
Cover Page
Editorial Board
How To
Submissions Guidelines
Submissions Page
Subscriptions
Elect. License Agreement
Test your IP address
Contacts
To Appear

J. C. Rosales & P. A. García-Sánchez & J. M. Urbano-Blanco

Volume 218:2 (2005), 379–398

The modular numerical semigroup S(2,6) = 〈3,4,5〉 is pseudo-symmetric. Thus Corollary 60 of the paper is false, since it asserts that S(a,ab) is not pseudo-symmetric for any positive integers a,b > 1. The mistake comes from part (ii) of Proposition 58, which should read

S is pseudo-symmetric if and only if (a−1,b) + (a−1) mod b = b−1.

(The sign on right-hand side of this equality was incorrect.)

Authors
J. C. Rosales
Departamento de Álgebra
Universidad de Granada
E-18071 Granada
Spain
P. A. García-Sánchez
Departamento de Álgebra
Universidad de Granada
E-18071 Granada
Spain
J. M. Urbano-Blanco
Departamento de Álgebra
Universidad de Granada
E-18071 Granada
Spain