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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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Journal ArticleDOI
A test for monomial containment
Simon Keicher,Thomas Kremer +1 more
TL;DR: An algorithm based on triangular sets to decide whether a given ideal in the polynomial ring contains a monomial is presented.
Dissertation
Nekomutativní teorie čísel
TL;DR: In this article, basic properties of lattices and orders over Dedekind domain in separable algebras are summarized and the Jordan-Zassenhaus theorem is proved.
Real circles tangent to 3 conics
TL;DR: In this article , the authors show that there are 184 complex circles tangent to three conics in the plane and characterize the real discriminant of the corresponding polynomial system.
Posted Content
A one-line undergraduate proof of Zariski's lemma and Hilbert's nullstellensatz
TL;DR: The first part of this theorem is Zariski's Lemma and the second part is usually called Hilbert's Nullstellensatz (Weak Form), which says every maximal ideal M of the polynomial ring K[x1, x2,..., xn], where K is an algebraically closed field is of the form M = (x 1 − a1,x 2 − a2, x n − an), ai ∈ K for all i.e.
Posted Content
The two-dimensional Jacobian Conjecture and unique factorization
TL;DR: In this paper, it was shown that if a two-dimensional endomorphism has an invertible Jacobian and is a product of prime elements of the endomorphisms, then it is an automorphism.
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: