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.

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Nagata ring - Commalg - Subwiki -- The…
History Origin of the term. Grothendieck dubbed these rings as universally Japanese rings. Nagata, in his paper, used the term Pseudo-geometric ring.
commalg.subwiki.org/wiki/Nagata_ring
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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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Resolution of Singularities of Embedded Algebraic Surfaces - Google Books Result
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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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Commutative Algebra and Algebraic Geometry: Joint International ... - Google Books Result
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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 ...
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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 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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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' ...
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.
Mathematics - arXiv
Cornell University Library · We gratefully acknowledge support ...
On algebras which are locally
8, Cambridge University Press, Cambridge, 1986. ... (52 #5656); [15] Nobuharu Onoda, Subrings of finitely generated rings over a pseudogeometric ring, Japan.
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.
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 ...
ag.algebraic geometry - Who first computed the integral cohomology ...
6 days ago ... "The cohomology ring of PSEUDO-PROJECTIVE SPACES" By TRAMER, Henry John. Ph. D. Thesis , Johns Hopkins University, 1965.
Books on the term Pseudo-geometric ring
Resolution of Singularities of Embedded Algebraic Surfaces
Shreeram S. Abhyankar, 1998
Note that every field is pseudogeometric, and every homomorphic image of a pseudogeometric ring is pseudo- geometric. The following two results of Nagata [ 18: (17.9), (32.1), (36.5)] may be used tacitly. (1.1.1). Every complete local ring is  ...
Ring In the Dead: A J. P. Beaumont Novella
J. A. Jance, 2013
J. P. Beaumont may be an old homicide hand now, but back when he was a rookie working with his first partner, Milton Gurkey—a.k.a. Pickles—things took a turn for the worse . . .One day, at the end of Beaumont and Pickles's shift, a stop at the Doghouse restaurant quickly turns deadly. Not feeling well, Pickles steps out into the parking lot fo...
Commutative Algebra and Algebraic Geometry: Joint International ...
Sudhir R.. Ghorpade, Hema Srinivasan, Jugal Verma, 2005
A ring (always commutative with 1) R is said to be pseudogeometric if for any prime ideal P in R, the integral closure of R/P in any finite algebraic field extension of its quotient field is a finite (= finitely generated) (/?/P)-module. Obviously any ...
Eleven Rings: The Soul of Success
Phil Jackson and Hugh Delehanty, 2013
During his storied career as head coach of the Chicago Bulls and Los Angeles Lakers, Phil Jackson won more championships than any coach in the history of professional sports. Even more important, he succeeded in never wavering from coaching his way, from a place of deep values. Jackson was tagged as the “Zen master” half in jest by sportswriters, b...
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).
Ring (Ring Series, Book 1)
Koji Suzuki and Glynne Walley, 2004
A mysterious videotape warns that the viewer will die in one week unless a certain, unspecified act is performed. Exactly one week after watching the tape, four teenagers die one after another of heart failure. Asakawa, a hardworking journalist, is intrigued by his niece's inexplicable death. His investigation leads him from a metropolitan tok...
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, ...
New Foundations in Mathematics: The Geometric Concept of Number
Garret Sobczyk, 2012
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra...
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 ...
Geometric Control of Mechanical Systems: Modeling, Analysis, and Design for Simple Mechanical Control Systems...
Francesco Bullo and Andrew D. Lewis, 2010
The area of analysis and control of mechanical systems using differential geometry is flourishing. This book collects many results over the last decade and provides a comprehensive introduction to the area.

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