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140122  eng 
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a 9781475731804

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1 

a Chapman, S.T.
e [editor]

245 
0 
0 
a NonNoetherian Commutative Ring Theory
h Elektronische Ressource
c edited by S.T. Chapman, Sarah Glaz

250 


a 1st ed. 2000

260 


a New York, NY
b Springer US
c 2000, 2000

300 


a X, 480 p
b online resource

505 
0 

a 1 GCD Domains, Gauss’ Lemma, and Contents of Polynomials  2 The Class Group and Local Class Group of an Integral Domain  3 Mori Domains  4 What’s New About IntegerValued Polynomials on a Subset?  5 HalfFactorial Domains, a Survey  6 On Generalized Lengths of Factorizations in Dedekind and Krull Domains  7 Recent Progress on GoingDown I  8 Localizing Systems and Semistar Operations  9 Ideal Theory in Pullbacks  10 Commutative Rings of Dimension 0  11 Finite Conductor Rings with Zero Divisors  12 Construction of Ideal Systems with Nice Noetherian Properties  13 Generalized Local Rings and Finite Generation of Powers of Ideals  14 Connecting Trace Properties  15 Constructing Examples of Integral Domains by Intersecting Valuation Domains  16 Examples Built With D+M, A+XB[X] and Other Pullback Constructions  17 TClosedness  18 Erings and Related Structures  19 Prime Ideals and Decompositions of Modules  20 Putting tInvertibility to Use  21 One Hundred Problems in Commutative Ring Theory

653 


a Commutative algebra

653 


a Algebraic Geometry

653 


a Commutative Rings and Algebras

653 


a Algebraic fields

653 


a Field Theory and Polynomials

653 


a Commutative rings

653 


a Algebraic geometry

653 


a Polynomials

700 
1 

a Glaz, Sarah
e [editor]

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0 
7 
a eng
2 ISO 6392

989 


b SBA
a Springer Book Archives 2004

490 
0 

a Mathematics and Its Applications

028 
5 
0 
a 10.1007/9781475731804

856 
4 
0 
u https://doi.org/10.1007/9781475731804?nosfx=y
x Verlag
3 Volltext

082 
0 

a 512.44

520 


a Commutative Ring Theory emerged as a distinct field of research in math ematics only at the beginning of the twentieth century. It is rooted in nine teenth century major works in Number Theory and Algebraic Geometry for which it provided a useful tool for proving results. From this humble origin, it flourished into a field of study in its own right of an astonishing richness and interest. Nowadays, one has to specialize in an area of this vast field in order to be able to master its wealth of results and come up with worthwhile contributions. One of the major areas of the field of Commutative Ring Theory is the study of nonNoetherian rings. The last ten years have seen a lively flurry of activity in this area, including: a large number of conferences and special sections at national and international meetings dedicated to presenting its results, an abundance of articles in scientific journals, and a substantial number of books capturing some of its topics. This rapid growth, and the occasion of the new Millennium, prompted us to embark on a project aimed at presenting an overview of the recent research in the area. With this in mind, we invited many of the most prominent researchers in NonNoetherian Commutative Ring Theory to write expository articles representing the most recent topics of research in this area
