Non-Noetherian Krull domains issued from symbolic blow-up and Rees algebras

منو

" Non-Noetherian Krull domains issued from symbolic blow-up and Rees algebras "
Sogome Suraizou

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	54999
Doc. No	:	TL24953
Call number	:	‭1432927‬
Main Entry	:	Sogome Suraizou
Title & Author	:	Non-Noetherian Krull domains issued from symbolic blow-up and Rees algebras\ Sogome Suraizou
College	:	King Fahd University of Petroleum and Minerals (Saudi Arabia)
Date	:	2005
Degree	:	M.S.
student score	:	2005
Page No	:	105
Abstract	:	Since Seidenberg's work on the dimension of polynomial rings in 1952, we know that Noetherian domains have the Krull dimension coincide with the valuative dimension (i.e., are Jaffard domains in non-Noetherian jargon). It is still an open problem to know whether this holds for arbitrary finite-dimensional Krull domains. However, non-Noetherian finite-dimensional Krull domains are rare in the literature and all happen to be Jaffard. Some of them arise as symbolic blow-up algebras or symbolic Rees algebras. Our purpose in this MS thesis is to have a close look at various works on this subject, towards a better understanding of non-Noetherian finite-dimensional Krull structures; particularly, those issued from blow-up and Rees algebras.
Subject	:	Pure sciences; Mathematics; 0405:Mathematics
Added Entry	:	King Fahd University of Petroleum and Minerals (Saudi Arabia)