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Absolutely superficial sequences

Published online by Cambridge University Press:  24 October 2008

Ngô Viêt Trung
Viên Toán hoc-Viên Khoa hoc Nghiã Đô, Tú Liêm, Hanoi, Vietnam


Let A be a local ring with maximal ideal m. Let M be a finitely generated module over A. Let a1 …, ar be a sequence of elements of m. Let qi denote the ideal (a1,…, ai), i = 1, …, r, and set q0 = 0A (the zero ideal of A), q = qr.

Research Article
Copyright © Cambridge Philosophical Society 1983

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