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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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Journal ArticleDOI
A deformation of instanton homology for webs
TL;DR: In this paper, a deformation of the authors' instanton homology for web is constructed by introducing a local system of coefficients, and the rank of the deformed homology is equal to the number of Tait colorings of the web.
Posted ContentDOI
Gluing and Hilbert functions of monomial curves
TL;DR: In this article, a large family of 1-dimensional Gorenstein local rings with non-decreasing Hilbert functions was constructed by using the technique of gluing semigroups.
Journal ArticleDOI
Higher Toda brackets and the Adams spectral sequence in triangulated categories
TL;DR: In this paper, it was shown that the Adams differential dr in any Adams spectral sequence can be expressed as an (r+1)fold Toda bracket and as an rth order cohomology operation.
DissertationDOI
P-adic regulators and p-adic families of modular forms
TL;DR: In this paper, the Iwasawa theory of Hida p-adic analytic families of modular forms is studied in the context of the weight variable in the Birch and Swinnerton-Dyer conjecture.
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Graphs and complete intersection toric ideals
TL;DR: In this paper, a polynomial time algorithm was proposed to check whether a given graph G is a complete intersection or not, and the algorithm also returned a minimal set of generators of PG.
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: