Note
Includes bibliography.
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
2019
EDTF Date Created
2019
Description
We say that a commutative ring R has the unique decomposition into ideals (UDI) property if, for any R-module which decomposes into a _nite direct sum of indecomposable ideals, this decomposition is unique up to the order and isomorphism class of the ideals. In a 2001 paper, Goeters and Olberding characterize the UDI property for Noetherian integral domains and in a 2011 paper Ay and Klingler obtain similar results for Noetherian reduced rings. We characterize the UDI property for Noetherian rings in general.
Language
Type
Form
Extent
83 p.
Subject (Topical)
Identifier
FA00013336
Additional Information
Includes bibliography.
Dissertation (Ph.D.)--Florida Atlantic University, 2019.
FAU Electronic Theses and Dissertations Collection
Date Backup
2019
Date Created Backup
2019
Date Text
2019
Date Created (EDTF)
2019
Date Issued (EDTF)
2019
Extension
FAU
IID
FA00013336
Organizations
Attributed name: Florida Atlantic University
Attributed name: Charles E. Schmidt College of Science
Attributed name: Department of Mathematical Sciences
Person Preferred Name
Omairi, Akeel
author
Graduate College
Physical Description
application/pdf
83 p.
Title Plain
H-LOCAL RINGS
Use and Reproduction
Copyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
http://rightsstatements.org/vocab/InC/1.0/
Origin Information
2019
2019
Florida Atlantic University
Boca Raton, Fla.
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
H-LOCAL RINGS
Other Title Info
H-LOCAL RINGS