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9 papers
Generic fiber rings of mixed power series/polynomial rings
William Heinzer, Christel Rotthaus, Sylvia Wiegand
Let K be a field, m and n positive integers, and X = {x_1,...,x_n}, and Y = {y_1,..., y_m} sets of independent variables over K. Let A be the polynomial ring K[X] localized at (X).…
Gorenstein dimension of modules over homomorphisms
Lars Winther Christensen, Srikanth Iyengar
Given a homomorphism of commutative noetherian rings R --> S and an S-module N, it is proved that the Gorenstein flat dimension of N over R, when finite, may be computed locally ov…
Entanglement Evolution in the Presence of Decoherence
Jin Wang, Herman Batelaan, Jeremy Podany +1
The entanglement of two qubits, each defined as an effective two-level, spin 1/2 system, is investigated for the case that the qubits interact via a Heisenberg XY interaction and a…
Resolutions of ideals of fat points with support in a hyperplane
Giuliana Fatabbi, Brian Harbourne, Anna Lorenzini
Our results concern minimal graded free resolutions of fat point ideals for points in a hyperplane. Suppose, for example, that I(m,d) is the ideal defining r given points of multip…
Hilbert-Samuel functions of modules over Cohen-Macaulay rings
Srikanth Iyengar, Tony J. Puthenpurakal
For a finitely generated, non-free module over a CM local ring $(R,\fm,k)$, it is proved that for the length of $\tor 1RM{R/\fm^{n+1}}$ is given by a polynomial of deg…
Absolutely Continuous Representations and a Kaplansky Density Theorem for Free Semigroup Algebras
Kenneth R. Davidson, Jiankui Li, David R. Pitts
We introduce notions of absolutely continuous functionals and representations on the non-commutative disk algebra . Absolutely continuous functionals are used to help identify…