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Minimal zero-dimensional extensions
| Title: | Minimal zero-dimensional extensions. |
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| Name(s): |
Chiorescu, Marcela Florida Atlantic University Charles E. Schmidt College of Science Department of Mathematical Sciences |
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| Type of Resource: | text | |
| Genre: | Electronic Thesis Or Dissertation | |
| Date Issued: | 2009 | |
| Publisher: | Florida Atlantic University | |
| Physical Form: | electronic | |
| Extent: | v, 43 p. : ill. | |
| Language(s): | English | |
| Summary: | The structure of minimal zero-dimensional extension of rings with Noetherian spectrum in which zero is a primary ideal and with at most one prime ideal of height greater than one is determined. These rings include K[[X,T]] where K is a field and Dedenkind domains, but need not be Noetherian nor integrally closed. We show that for such a ring R there is a one-to-one correspondence between isomorphism classes of minimal zero-dimensional extensions of R and sets M, where the elements of M are ideals of R primary for distinct prime ideals of height greater than zero. A subsidiary result is the classification of minimal zero-dimensional extensions of general ZPI-rings. | |
| Identifier: | 417653151 (oclc), 210447 (digitool), FADT210447 (IID), fau:3405 (fedora) | |
| Note(s): |
by Marcela Chiorescu. Thesis (Ph.D.)--Florida Atlantic University, 2009. Includes bibliography. Electronic reproduction. Boca Raton, Fla., 2009. Mode of access: World Wide Web. |
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| Subject(s): |
Algebra, Abstract Noetherian rings Commutative rings Modules (Algebra) Algebraic number theory |
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| Persistent Link to This Record: | http://purl.flvc.org/FAU/210447 | |
| Use and Reproduction: | http://rightsstatements.org/vocab/InC/1.0/ | |
| Host Institution: | FAU |
