Pseudo geometric ring
In commutative algebra, an integral domain A is called an N-1 ring if its integral closure in its quotient field is a finitely generated A module. It is called a Japanese ring (or an N-2 ring) if for every finite extension L of its quotient field K, the integral closure of A in L is a finitely generated A module (or equivalently a finite A-algebra). A ring is called universally Japanese if every finitely generated integral domain over it is Japanese, and is called a Nagata ring, named for Masayoshi Nagata, (or a pseudo-geometric ring) if it is Noetherian and universally Japanese (or, which turns out to be the same, if it is Noetherian and all of its quotients by a prime ideal are N-2 rings.) A ring is called geometric if it is the local ring of an algebraic variety or a completion of such a local ring (Danilov 2001), but this concept is not used much.

This is an excerpt from the article Pseudo geometric ring from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
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Nagata ring - Wikipedia, the free encyclopedia
In commutative algebra, an integral domain A is called an N-1 ring if its ... called a Nagata ring, named for Masayoshi Nagata, (or a pseudo-geometric ring) if it is ...
en.wikipedia.org/wiki/Nagata_ring
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Geometric ring - Encyclopedia of Mathematics
Feb 7, 2011 ... Examples of local Noetherian rings that are not analytically reduced or analytically normal are known [4]. A pseudo-geometric ring is a ...
www.encyclopediaofmath.org/index.php/Geometric_ring
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Definitions of pseudo geometric ring - OneLook Dictionary Search
We found one dictionary that includes the word Pseudo geometric ring: General dictionaries General (1 matching dictionary). Pseudo-geometric ring, Pseudo ...
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pseudo geometric ring search results - Nciku Online Chinese ...
Their nciku My nciku; Vocab Lists; Posts; Activity. Search results for 'Pseudo geometric ring'. All · English to Chinese Dictionary; Chinese to English Dictionary ...
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pseudo-geometric ring search results - Nciku Online English ...
1. a piece of jewelry in the form of a circle that you wear on a finger; 2. the sound that a bell produces; 3. a raised square area surrounded by ropes where ...
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Pseudo-geometric Ring quotes | Quotations at Dictionary.com
pulling off the fat diamond engagement ring, pulling off the elopement wedding ring, ... and holding them, clicking them in thumb and forefinger, the indent of ...
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Subrings of finitely generated rings over a pseudo-geometric ring ...
Subrings of finitely generated rings over a pseudo-geometric ring. Onoda, Nobuharu Subrings of finitely generated rings over a pseudo-geometric ring. In: 代数 ...
eprints3.math.sci.hokudai.ac.jp/314/
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pseudo geometric ring - Did you spell it correctly. Alternative ...
Pseudo geometric ring - Did you spell it correctlly? Alternative spellings. See more in British English Dictionary - Cambridge Dictionary Online.
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Integral Closure of Ideals, Rings, and Modules - Google Books Result
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Pseudo geometric ring in science
Nagata biography - MacTutor History of Mathematics - University of ...
Nagata entered Nagoya Imperial University in April 1947 and there he ... It is worth noting that the Noetherian rings which Nagata calls 'pseudo-geometric rings' ...
ag.algebraic geometry - Who first computed the integral cohomology ...
Jun 25, 2013 ... "The cohomology ring of PSEUDO-PROJECTIVE SPACES" By TRAMER, Henry John. Ph. D. Thesis , Johns Hopkins University, 1965.
Mathematics - arXiv
Cornell University Library · We gratefully acknowledge support ...
Ring opening of pyridines: the pseudo-cis and pseudo-trans isomers ...
May 11, 2007 ... Department of Chemistry, Youngstown State University, One ... with approximately 90% pseudo-cis geometry and confirms the structure ...
pseudo geometric ring - Did you spell it correctly. Alternative ...
Pseudo geometric ring - Did you spell it correctlly? Alternative spellings. See more in British English Dictionary - Cambridge Dictionary Online.
Algebras with affine fibres over an excellent ring
We investigate an algebra R over an excellent ring D such that the fibre ring ... Department of Mathematics, Faculty of Education, Fukui University, Fukui, 910, Japan ...... Subrings of finitely generated rings over a pseudo-geometric ring. Japan.
Geometric domains with specified pseudo-dimensions
(For a module N over a local ring A with maximal ideal ... We shall see that the pseudo-supports of such geometric local domains have certain ...... Introduction with Geometric ApplicationsCambridge University Press, Cambridge (1998).
Ring (mathematics) - Wikipedia, the free encyclopedia
In geometry, the cohomology ring of a topological space constitutes an important ... that are required in the definition of a ring (such is structure is also called pseudo-ring, or a rng). ...... Cambridge, England: Cambridge University Press, 2000.
[PDF]Mathematics People - American Mathematical Society
Akshay Venkatesh of Stanford University has been .... geometry. “Pseudo-geometric rings”, treated in the book, are now called “Nagata rings” and form an ...
Books on the term Pseudo geometric ring
Commutative Ring Theory
H. Matsumura, 1989
and the notion of a regular local ring, and went beyond the framework of Noetherian rings to create the theory of general valuation ... to Hilbert's 14th problem, and initiated the theory of Nagata rings (which he called pseudo- geometric rings).
Woodcarving Magic: How to Transform a Single Block of Wood into Impossible Shapes (With 29 Projects for Carving...
Bjarne Jesperson, 2012
Caution: Mind boggling woodcarving projects! If you thought carving the linked chain or the ball-in-cage was a challenge, get ready for Bjarne Jespersen and his mind-altering woodcarving projects! Bjarne is a master woodcarver from Denmark and has spent his life studying geometric form. In this book, he shares over 25 amazing designs and projects f...
Integral Closure of Ideals, Rings, and Modules
Craig Huneke, Irena Swanson, 2006
9.6 A ring R is said to be pseudo–geometric if for every prime ideal P in R, the integral closure of R/P in any finite field extension of κ(P) is module–finite over R/ P. Pseudo–geometric is Nagata's terminology, Matsumura's terminology is Nagata, ...
Rings, Fields, and Vector Spaces: An Introduction to Abstract Algebra via Geometric Constructibility (Undergraduate...
B.A. Sethuraman, 1996
Using the proof of the non-trisectability of an arbitrary angle as a final goal, the author develops in an easy conversational style the basics of rings, fields, and vector spaces. Originally developed as a text for an introduction to algebra course for future high-school teachers at California State University, Northridge, the focus of this book i...
Progress in Commutative Algebra 2: Closures, Finiteness and ...
Christopher Francisco, Lee C. Klingler, Sean M. Sather-Wagstaff, 2012
A geometric version of condition (i) winds through the literature under different guises: In his 1962 monograph, Local rings, Nagata defines a Noetherian ring R to be pseudo-geometric if for each prime ideal P of R and each finite extension ...
Ring
Stephen Baxter, 1996
Michael Poole's wormholes constructed in the orbit of Jupiter had opened the galaxy to humankind. Then Poole tried looping a wormhole back on itself, tying a knot in space and ripping a hole in time. It worked. Too well. Poole was never seen again. Then from far in the future, from a time so distant that the stars themselves were dying embers,...
Near-Rings and Near-Fields
G. Betsch, 2011
There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model ...
Affine Algebraic Geometry: Special Session On Affine Algebraic ...
Jaime J. Gutiérrez, Vladimir Shpilrain, Jie-Tai Yu, 2005
[5] M. Nagata, Local rings, Interscience Tracts pure appl. math, 13, Interscience, 1962. [6] N. Onoda, Subrings of finitely generated rings over a pseudo- geometric ring, Japan. J. Math. 10 (1984), 29-53. Faculty of Education, Toyama University, ...

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Pseudo geometric ring
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