Open Access
Commutative Algebra I
Reads0
Chats0
TLDR
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
More filters
Posted Content
Free algebras arising from positive-entropy automorphisms of surfaces
TL;DR: In this paper, it was shown that the skew Laurent extension of a smooth projective surface has a free subalgebra if and only if the spectral radius for the action of s on the Neron-Severi group of X is > 1.
Journal ArticleDOI
The Space of Maximal Subrings of a Commutative Ring
TL;DR: In this article, it was shown that valuation domains behave similar to prime ideals in the Zariski topology in the topology of RgMax(R) in the sense that they can be viewed as a subbase for closed subsets for X.
Posted Content
Equivariant total ring of fractions and factoriality of rings generated by semiinvariants
TL;DR: In this article, the authors studied the factoriality of (semi-)invariant subrings under the action of affine flat groups and proved some variations of classical results.
Journal ArticleDOI
Uniform approximation of Abhyankar valuation ideals in function field of prime characteristic
TL;DR: Using the theory of asymptotic test ideals, the authors proved the prime characteristic analogue of a characteristic $0$ result of Ein, Lazarsfeld and Smith (arXiv:math/0202303) on uniform approximation of valuation ideals associated to realvalued Abhyankar valuations centered on regular varieties over perfect fields.
References
More filters
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: