A formula for jumping numbers in a two-dimensional regular local ring

On the value-semigroup of a simple complete ideal in a two-dimensional regular local ring

Let R be a two-dimensional regular local ring with maximal ideal m, and let ℘ be a simple complete m-primary ideal which is residually rational. Let R0 := R $ R1 $ · · · $ Rr be the quadratic sequence associated to ℘, let Γ℘ be the value-semigroup associated to ℘, and let (ej(℘))0≤j≤r be the multiplicity sequence of ℘. We associate to ℘ a sequence (γi(℘))0≤i≤g of natural integers which we call ...

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

The Leading Ideal of a Complete Intersection of Height Two in a 2-dimensional Regular Local Ring

Let (S,n) be a 2-dimensional regular local ring and let I = (f, g) be an ideal in S generated by a regular sequence f, g of length two. Let I∗ be the leading ideal of I in the associated graded ring grn(S), and set R = S/I and m = n/I. In [GHK2], we prove that if μG(I ∗) = n, then I∗ contains a homogeneous system {ξi}1≤i≤n of generators such that deg ξi + 2 ≤ deg ξi+1 for 2 ≤ i ≤ n−1, and htG(ξ...

Analytical Solution for Two-Dimensional Coupled Thermoelastodynamics in a Cylinder

An infinitely long hollow cylinder containing isotropic linear elastic material is considered under the effect of arbitrary boundary stress and thermal condition. The two-dimensional coupled thermoelastodynamic PDEs are specified based on equations of motion and energy equation, which are uncoupled using Nowacki potential functions. The Laplace integral transform and Bessel-Fourier series are u...

passivity in waiting for godot and endgame: a psychoanalytic reading

this study intends to investigate samuel beckett’s waiting for godot and endgame under the lacanian psychoanalysis. it begins by explaining the most important concepts of lacanian psychoanalysis. the beckettian characters are studied regarding their state of unconscious, and not the state of consciousness as is common in most beckett studies. according to lacan, language plays the sole role in ...