Date of Award
2019
Document Type
Dissertation
Publication Status
Version of Record
Submission Date
October 2026
Thesis/Dissertation Advisor [Chair]
Klingler, Lee
Abstract
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.
Extent
83 p.
Recommended Citation
Omairi, Akeel, "H-LOCAL RINGS" (2019). Electronic Theses and Dissertations 2010 - 2019. 2188.
https://digitalcommons.fau.edu/etd_general_6/2188
Identifier
FA00013336
Comments
Includes bibliography.|Dissertation (Ph.D.)--Florida Atlantic University, 2019.|FAU Electronic Theses and Dissertations Collection|Includes bibliography.