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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
Citations
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Finiteness theorems for vanishing cycles of formal schemes
TL;DR: In this paper, the constructibility of vanishing cycles sheaves for arbitrary formal schemes locally finitely presented over a non-Archimedean field with nontrivial valuation was shown.
Posted Content
Nef divisors for moduli spaces of complexes with compact support
TL;DR: In this article, the first author and Macri constructed a family of nef divisors on any moduli space of Bridgeland-stable objects on a smooth projective variety X, and extended this construction to the setting of any separated scheme Y of finite type over a field.
Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry
Giuseppe De Laurentis,Ben Page +1 more
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When an Extension of Nagata Rings Has Only Finitely Many Intermediate Rings, Each of Those Is a Nagata Ring
TL;DR: Let be an extension of commutative rings, with X an indeterminate, such that the extension of Nagata rings has FIP (i.e., has only finitely many -subalgebras).
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On Commutativity of Ideal Extensions
TL;DR: In this paper, a non-commutative ring T which contains a central and idempotent ideal I such that T/I is a field was constructed, and a class of fields of characteristic zero which can be obtained as fields for some T.
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: