On Quotient Modules—The Case of Arbitrary Multiplicity
✍ Scribed by Ronald G. Douglas; Gadadhar Misra; Cherian Varughese
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 293 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0022-1236
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📜 SIMILAR VOLUMES
The present article gives certain conditions for Rees modules to obtain Buchsbaumness. Suppose a given -primary ideal is of minimal multiplicity in the equi-I-invariant case. Then it is shown that the positively graded submodule of the Rees module must be Buchsbaum and moreover that the Rees module
Let p be a fixed odd prime number and k an imaginary abelian field containing a primitive p th root `p of unity. Let k Âk be the cyclotomic Z p -extension and LÂk the maximal unramified pro-p abelian extension. We put where E is the group of units of k . Let X=Gal(LÂk ) and Y=Gal(L & NÂk ), and let