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Commutative Algebra I
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A compilation of two sets of notes at the University of Kansas was published in the Spring of 2002 by?? and the other in the spring of 2007 by Branden Stone.Abstract:
1 A compilation of two sets of notes at the University of Kansas; one in the Spring of 2002 by ?? and the other in the Spring of 2007 by Branden Stone. These notes have been typedread more
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Lov\'asz-Saks-Schrijver ideals and parity binomial edge ideals of graphs
TL;DR: In this article, the Lovasz-Saks-Schrijver (LSS) ideal and parity binomial edge ideal of a simple graph on n vertices in the polynomial ring were defined.
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On functions given by algebraic power series over Henselian valued fields
TL;DR: In this paper, the authors provide, over Henselian valued fields, some theorems on implicit function and of Artin-Mazur on algebraic power series.
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Reconstructing function fields from Milnor K-theory
Anna Cadoret,Alena Pirutka +1 more
TL;DR: In this article, it was shown that the multiplicative group of a regular field extension of the transcendence degree over a perfect field can determine the isomorphism class of a given regular field in a functorial way.
Journal ArticleDOI
First Integral Method to Study Nonlinear Evolution Equations
TL;DR: In this paper, the first integral method was applied to generalized ZK-BBM equation and Drinefel-d-Sokolov-Wilson system and one-dimensional modified EW-Burgers equation.
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Characterizing finitely generated fields by a single field axiom
Philip Dittmann,Florian Pop +1 more
TL;DR: In this article, the authors show that for every field in this class there is an explicit first-order sentence which characterizes this field within the class up to isomorphism, conditional on resolution of singularities in characteristic two and unconditional in all other characteristics.
References
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Book
Introduction to Commutative Algebra
TL;DR: It is shown here how the Noetherian Rings and Dedekind Domains can be transformed into rings and Modules of Fractions using the following structures: