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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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Equivalent generating vectors of finitely generated modules over commutative rings
TL;DR: In this article, the authors studied the action of matrix right-multiplication on the set of elements of a quasi-Euclidean ring whose components generate a module whose identity differs from the identity by an off-diagonal coefficient.
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Norm based extension of reflexive modules over weyl algebras
TL;DR: In this paper, the authors consider a reflexive module of rank one over a degenerate Weyl algebra over a field of positive characteristic and define an invariant which they call wrinkle of the module and see that it is good enough to distinguish trivial module.
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Polynomial Graded Subalgebras of Polynomial Algebras
TL;DR: In this article, the authors describe polynomial graded subalgebras of k[x 1, ⋅, p n ], where p 1,⋅ and p n are prime numbers.
Hessenberg varieties of codimension one in the flag variety
TL;DR: In this paper , the singular locus of any nilpotent codimension one Hessenberg variety is also a Hessenberg (i.e., the points in the corresponding Hessenberg point set over a given time interval are assumed to be Hessenberg points.
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Semidefinite approximations of conical hulls of measured sets
Julián Romero,Mauricio Velasco +1 more
TL;DR: Barvinok and Lasserre as discussed by the authors proved convergence results for such sequences of spectrahedra and provided tools for bounding the distance between $P_k$ and $C^*$.
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: