Krull dimension: Difference between revisions
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Revision as of 16:20, 30 October 2008
In algebra, the Krull dimension of a ring is one less than the length of a maximal ascending chain of prime ideals.
References
- Irving Kaplansky, Commutative rings (revised ed.), University of Chicago Press, 1974, ISBN 0-226-42454-5. Page 32.
- A.I. Kostrikin and I.R. Shafarevich (edd), Algebra II, Encyclopaedia of Mathematical Sciences 18, Springer-Verlag, 1991, ISBN 3-540-18177-6. Sect.4.7.