التفاصيل البيبلوغرافية
| العنوان: |
Characteristic ideals and Iwasawa theory. |
| المؤلفون: |
Bandini, Andrea, Bars, Francesc, Longhi, Ignazio |
| المصدر: |
New York Journal of Mathematics; 2014, Vol. 20, p759-778, 20p |
| مصطلحات موضوعية: |
IWASAWA theory, MATHEMATICAL domains, INVERSE functions, MODULES (Algebra), IDEALS (Algebra) |
| مستخلص: |
Let Λ be a nonnoetherian Krull domain which is the inverse limit of noetherian Krull domains Λd and let M be a finitely generated Λ-module which is the inverse limit of Λd-modules Md. Under certain hypotheses on the rings Λd and on the modules Md, we define a procharacteristic ideal for M in Λ, which should play the role of the usual characteristic ideals for finitely generated modules over noetherian Krull domains. We apply this to the study of Iwasawa modules (in particular of class groups) in a nonnoetherian Iwasawa algebra Zp[[Gal(F/F)]], where F is a function field of characteristic p and Gal(F/F) ≃ Z∞p. [ABSTRACT FROM AUTHOR] |
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