Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On monoids of finite real character

Author: Ulrich Krause
Journal: Proc. Amer. Math. Soc. 105 (1989), 546-554
MSC: Primary 20M14; Secondary 13A18
MathSciNet review: 953009
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The property of Krull domains, to be determined already by its essential valuations, is extended to a class of monoids of finite real character containing Krull monoids. This is applied to construct a divisor theory for such monoids and also to characterize Krull domains purely multiplicatively as the integral domains for which the multiplicative monoid is a Krull monoid.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 20M14, 13A18

Retrieve articles in all journals with MSC: 20M14, 13A18

Additional Information

PII: S 0002-9939(1989)0953009-9
Keywords: Partially ordered groups, essential valuations, divisor theory, Krull monoids, Krull domains
Article copyright: © Copyright 1989 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia