Abstract
When a ring R has nice properties (such as being noetherian), then its R-modules tend to have nice properties (such as being noetherian, at least in the finitely generated case). Since principal ideal domains (abbreviated p.i.d.s) have very nice properties, we expect the same for modules over p.i.d.s.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Roman, S. (1992). Modules over Principal Ideal Domains. In: Advanced Linear Algebra. Graduate Texts in Mathematics, vol 135. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2178-2_7
Download citation
DOI: https://doi.org/10.1007/978-1-4757-2178-2_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-2180-5
Online ISBN: 978-1-4757-2178-2
eBook Packages: Springer Book Archive