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Absolutely superficial sequences

Published online by Cambridge University Press:  24 October 2008

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

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 93 , Issue 1 , January 1983 , pp. 35 - 47
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

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