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math.AC2020
When does a perturbation of the equations preserve the normal cone
Pham Hung Quy, Ngo Viet Trung
Let be a local ring and two arbitrary ideals of . Let denote the associated ring of with respect to , which correspo…
math.AC2020
Small perturbations in generalized Cohen-Macaulay local rings
Pham Hung Quy, Van Duc Trung
Let be a generalized Cohen-Macaulay local ring of dimension , and a part of system of parameters of . In this paper we give explicit numbers…
math.AC2020
Uniform Annihilators of Systems of parameters
Pham Hung Quy
In this paper we give uniform annihilators for some relations of all systems of parameters in a local ring. Our results provide simple proofs for some classical results.