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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 Article
On the de Rham homology of affine varieties in characteristic 0
TL;DR: In this paper, Lyubeznik et al. presented a Ph.D. dissertation with a focus on mathematics and applied it to the physics department at the University of Minnesota.
Effective Hilbert's Irreducibility Theorem for global fields
Marcelo Paredes,Roman Sasyk +1 more
TL;DR: In this article , the authors prove an effective form of Hilbert's irreducibility theorem for polynomials over a global Euclidean space, and give bounds for the number of specializations t ∈ O K that do not preserve the Galois group of a polynomial F (T,Y ) ∈ K [ T,Y ] .
Posted Content
Weak normalization and seminormalization in real algebraic geometry
TL;DR: In this article, the authors define weak normalization and the seminormalization of a real algebraic variety relative to its central locus, which is related to the properties of the rings of continuous rational functions and hereditarily rational functions.
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On some properties of LS algebras
TL;DR: The discrete LS algebra over a totally ordered set is the homogeneous coordinate ring of an irreducible projective (normal) toric variety as mentioned in this paper, and it is shown that this algebra is the ring of invariants of a...
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Carryless Arithmetic Mod 10
TL;DR: In this article, the authors consider arithmetic on an island that eschews carry digits and show how primes, squares and other number theoretical concepts play out on such an island, and propose a number theoretic model for the island.
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: