Vol. 2, No. 1, 2009

Download this article
Download this article For screen
For printing
Recent Issues

Volume 11, 1 issue

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
Cover Page
Editorial Board
Editors’ Addresses
Editors’ Interests
About the Journal
Scientific Advantages
Submission Guidelines
Submission Form
Ethics Statement
Subscriptions
Editorial Login
Author Index
Coming Soon
Contacts
 
ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Atoms of the relative block monoid

Nicholas Baeth and Justin Hoffmeier

Vol. 2 (2009), No. 1, 29–36
Abstract

Let G be a finite abelian group with subgroup H and let (G) denote the free abelian monoid with basis G. The classical block monoid (G) is the collection of sequences in (G) whose elements sum to zero. The relative block monoid H(G), defined by Halter-Koch, is the collection of all sequences in (G) whose elements sum to an element in H. We use a natural transfer homomorphism θ : H(G) (GH) to enumerate the irreducible elements of H(G) given an enumeration of the irreducible elements of (GH).

Keywords
zero-sum sequences, block monoids, finite abelian groups
Mathematical Subject Classification 2000
Primary: 11P70, 20M14
Milestones
Received: 15 September 2008
Revised: 10 November 2008
Accepted: 12 November 2008
Published: 18 March 2009

Communicated by Scott Chapman
Authors
Nicholas Baeth
Mathematics and Computer Science
University of Central Missouri
Warrensburg, MO 64093
United States
Justin Hoffmeier
Mathematics and Computer Science
University of Central Missouri
Warrensburg, MO 64093
United States