Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Absolutely superficial sequences

Ngô Viêt Trunga1

a1 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.

(Received March 24 1982)