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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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Three variations on the linear independence of grouplikes in a coalgebra.
TL;DR: In this paper, it was shown that coalgebras over a commutative ring are linearly independent over a field and characters of a bialgebra over the same field.
Journal ArticleDOI
Fibers of multi-graded rational maps and orthogonal projection onto rational surfaces
TL;DR: In this article, the orthogonal projections of a point onto a rational algebraic surface embedded in the three-dimensional projective space are computed using a new algebraic method.
Fe b 20 22 R-EQUIVALENCE ON REDUCTIVE GROUP SCHEMES
TL;DR: In this article , it was shown that for any reductive group scheme G over an equicharacteristic henselian regular local ring, there is a canonical isomorphism of Manin's R-equivalence class groups GK(K)/R ∼= Gk(k)/R.
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On the generating polynomials for the distribution of generalized binomial coefficients in discrete valuation domains
TL;DR: In this paper, a generating polynomial is introduced to account for the distribution of the values of the polynomials of a discrete valuation domain modulo the maximal ideal.
Subrings in trigonometric polynomial rings
Tariq Shah,Ehsan Ullah +1 more
TL;DR: In this article, the authors explore the subrings in trigonometric polyno-mial rings and show that T 0 is a BFD whereas T 0 0 and T 0 1 are Euclidean domains.
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: