Codimension and analytic spread
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 ma...
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| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 1972-11, Vol.72 (3), p.369-373, Article 369 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | 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. |
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| ISSN: | 0305-0041 0008-1981 1469-8064 |
| DOI: | 10.1017/S0305004100047198 |