Note
Includes bibliography.
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
2020
EDTF Date Created
2020
Description
A + B rings are constructed from a ring A and nonempty set of prime ideals of A. Initially, these rings were created to provide examples of reduced rings which satisfy certain annihilator conditions. We describe precisely when A + B rings have these properties, based on the ring A and set of prime ideals of A. We continue by giving necessary and su cient conditions for A + B rings to have various other properties. We also consider annihilators in the context of frames of ideals of reduced rings.
Language
Type
Form
Extent
113 p.
Subject (Topical)
Identifier
FA00013588
Rights
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.
Additional Information
Includes bibliography.
Dissertation (Ph.D.)--Florida Atlantic University, 2020.
FAU Electronic Theses and Dissertations Collection
Date Backup
2020
Date Created Backup
2020
Date Text
2020
Date Created (EDTF)
2020
Date Issued (EDTF)
2020
Extension
FAU
IID
FA00013588
Organizations
Attributed name: Florida Atlantic University
Attributed name: Department of Mathematical Sciences
Attributed name: Charles E. Schmidt College of Science
Person Preferred Name
Epstein, Alexandra Nicole
author
Graduate College
Physical Description
application/pdf
113 p.
Title Plain
ANNIHILATORS AND A + B 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
2020
2020
Florida Atlantic University
Boca Raton, Fla.
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
ANNIHILATORS AND A + B RINGS
Other Title Info
ANNIHILATORS AND A + B RINGS