A Direct Proof of a Theorem concerning Treed Overrings

Author

Ayache, Ahmed

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

Mathematics

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