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Codimension and analytic spread

Name: Codimension and analytic spread
Creator: Lindsay Burch
Keywords: Dimension theory, depth, related commutative rings (catenary, etc.), 0101 mathematics, 01 natural sciences, Local rings and semilocal rings

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Nov 1972Publisher:Cambridge University Press (CUP)Journal:Mathematical Proceedings of the Cambridge Philosophical Society, volume 72, pages 369-373 (issn: 0305-0041, eissn: 1469-8064,

Authors: Lindsay Burch;

doi: 10.1017/s0305004100047198

Codimension and analytic spread

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Abstract

In this paper, I shall establish the sufficiency of certain conditions on an ideal A of a local ring Q, and on a set {g1 …,gk} of elements of Q generating a proper ideal G, for the ideals A and G to be analytically disjoint. Hence I shall establish an upper bound for the analytic spread of A.The maximal ideal of Q will be denoted throughout by M, and it will be assumed that the field Q/M is infinite.

Related Organizations

University of Dundee
United Kingdom

Keywords

Dimension theory, depth, related commutative rings (catenary, etc.), Local rings and semilocal rings

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	113
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