Vol. 318, No. 2, 2022

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 331: 1  2
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
This article is available for purchase or by subscription. See below.
Semigroup rings as weakly Krull domains

Gyu Whan Chang, Victor Fadinger and Daniel Windisch

Vol. 318 (2022), No. 2, 433–452
Abstract

Let D be an integral domain and Γ be a torsion-free commutative cancellative (additive) semigroup with identity element and quotient group G. We show that if char (D) = 0 (resp., char (D) = p > 0), then D[Γ] is a weakly Krull domain if and only if D is a weakly Krull UMT-domain, Γ is a weakly Krull UMT-monoid, and G is of type (0,0,0,) (resp., type (0,0,0,) except p). Moreover, we give arithmetical applications of this result.

PDF Access Denied

We have not been able to recognize your IP address 18.207.160.209 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
semigroup ring, weakly Krull domain, finite $t$-character, system of sets of lengths
Mathematical Subject Classification
Primary: 13A15, 13F05, 20M12
Milestones
Received: 24 January 2022
Revised: 21 April 2022
Accepted: 21 May 2022
Published: 20 August 2022
Authors
Gyu Whan Chang
Department of Mathematics Education
Incheon National University
Incheon
South Korea
Victor Fadinger
Institute for Mathematics and Scientific Computing
NAWI Graz
University of Graz
Graz
Austria
Daniel Windisch
Institute for Analysis and Number Theory
NAWI Graz
Graz University of Technology
Graz
Austria