Note
Includes bibliography.
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
2015
EDTF Date Created
2015
Description
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.
Language
Type
Form
Extent
53 p.
Subject (Topical)
Identifier
FA00004465
Additional Information
Includes bibliography.
Dissertation (Ph.D.)--Florida Atlantic University, 2015
FAU Electronic Theses and Dissertations Collection
Date Backup
2015
Date Created Backup
2015
Date Text
2015
Date Created (EDTF)
2015
Date Issued (EDTF)
2015
Extension
FAU
IID
FA00004465
Organizations
Attributed name: Florida Atlantic University
Attributed name: Charles E. Schmidt College of Science
Attributed name: Department of Mathematical Sciences
Person Preferred Name
Sharma, Madhav
author
Graduate College
Physical Description
application/pdf
53 p.
Title Plain
Maximally Prüfer 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.
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Origin Information
2015
2015
Florida Atlantic University
Boca Raton, Fla.
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
Maximally Prüfer rings
Other Title Info
Maximally Prüfer rings