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On chains of prime submodules

✍ Scribed by Shing Hing Man; Patrick F. Smith


Publisher
The Hebrew University Magnes Press
Year
2002
Tongue
English
Weight
979 KB
Volume
127
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


A Characterization of Prime Submodules
✍ YΓΌcel TΔ±raş; Abdullah HarmancΔ±; P.F. Smith πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 84 KB
Lifting chains of prime ideals
✍ Holger Brenner πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 87 KB

We give an elementary proof that for a ring homomorphism A β†’ B satisfying the property that every ideal in A is contracted from B the following property holds: for every chain of prime ideals p0 βŠ‚ β€’ β€’ β€’ βŠ‚ pr in A there exists a chain of prime ideals q0 βŠ‚ β€’ β€’ β€’ βŠ‚ qr in B such that qi ∩ A = pi.

Lifting Chains of Primes
✍ Stephen McAdam πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 203 KB