Reductions of filtrations

J. S. Okon and Louis Jackson Ratliff, Jr.

Vol. 144 (1990), No. 1, 137–154

DOI: 10.2140/pjm.1990.144.137

Abstract

Let ϕ = {ϕ(n)}_n≥0 be a filtration on a ring R. Then the concept of a reduction of ϕ is introduced, several basic properties of such reductions are established, and then these results are used to characterize analytically unramified semi-local rings and locally quasi-unmixed Noetherian rings.

Mathematical Subject Classification 2000

Primary: 13A15

Secondary: 13A30, 13B22

Milestones

Received: 6 September 1988

Published: 1 July 1990