Date of Award
2015
Document Type
Dissertation
Publication Status
Version of Record
Submission Date
October 2026
Thesis/Dissertation Advisor [Chair]
Klingler, Lee
Abstract
In this dissertation, we consider six Prufer-like conditions on acommutative ring R. These conditions form a hierarchy. Being a Prufer ring is not a local property: a Prufer ring may not remain a Prufer ring when localized at a prime or maximal ideal. We introduce a seventh condition based on this fact and extend the hierarchy. All the conditions of the hierarchy become equivalent in the case of a domain, namely a Prufer domain. We also seek the relationship of the hierarchy with strong Prufer rings.
Extent
53 p.
Recommended Citation
Sharma, Madhav, "Maximally Prüfer rings" (2015). Electronic Theses and Dissertations 2010 - 2019. 1259.
https://digitalcommons.fau.edu/etd_general_6/1259
Identifier
FA00004465
Comments
Includes bibliography.|Dissertation (Ph.D.)--Florida Atlantic University, 2015|FAU Electronic Theses and Dissertations Collection|Includes bibliography.