Superregular sequences

Judith D. Sally

Vol. 84 (1979), No. 2, 465–481

DOI: 10.2140/pjm.1979.84.465

Abstract

Let (R,m) be a local ring with associated graded ring grR = R∕m⊕m∕m² ⊕m²∕m³ ⊕⋯ . This paper deals with the problem of finding properties of R which lead to good properties in grR. There are two main results in this paper which give techniques for recognizing when the maximal homogeneous ideal of grR contains regular elements. Applications of these results give examples of local Cohen-Macaulay rings which have Cohen-Macaulay associated graded rings.

Mathematical Subject Classification 2000

Primary: 13H10

Secondary: 14M05

Milestones

Received: 5 July 1978

Revised: 19 January 1979

Published: 1 October 1979