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تسجيل مستخدم جديد$mathfrak{m}$-adic Perturbations in Noetherian Local Rings
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Nick Cox-Steib
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We develop new methods to study $mathfrak{m}$-adic stability in an arbitrary Noetherian local ring. These techniques are used to prove results about the behavior of Hilbert-Samuel and Hilbert-Kunz multiplicities under fine $mathfrak{m}$-adic perturbations.
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