A Direct Proof of a Theorem concerning Treed Overrings
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-08
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
We improve and provide a direct proof of a theorem that answered a question by Dobbs about treed overrings.
More precisely, we show that if R is an integrally closed local domain and each of its proper overrings is treed, then R is a valuation domain or R is a PVD with associated valuation overring V such that tr.deg[V/M:R/M]=1.
American Psychological Association (APA)
Ayache, Ahmed. 2015. A Direct Proof of a Theorem concerning Treed Overrings. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-3.
https://search.emarefa.net/detail/BIM-1066219
Modern Language Association (MLA)
Ayache, Ahmed. A Direct Proof of a Theorem concerning Treed Overrings. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-3.
https://search.emarefa.net/detail/BIM-1066219
American Medical Association (AMA)
Ayache, Ahmed. A Direct Proof of a Theorem concerning Treed Overrings. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-3.
https://search.emarefa.net/detail/BIM-1066219
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1066219
