Codimension and analytic spread
- 1 September 1972
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 72 (3) , 369-373
- https://doi.org/10.1017/s0305004100047198
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.Keywords
This publication has 2 references indexed in Scilit:
- Commutative AlgebraPublished by Springer Nature ,1960
- Reductions of ideals in local ringsMathematical Proceedings of the Cambridge Philosophical Society, 1954