Ring-Theoretic Properties of Iwasawa Algebras: A Survey

This is a survey of the known properties of Iwasawa algebras, i.e., completed group rings of compact $p$-adic analytic groups with coefficients the ring $\Zp$ of $p$-adic integers or the field $\Fp$ of $p$ elements. A number of open questions are also stated.

2000 Mathematics Subject Classification: 16L30, 16P40, 20C07, 11R23

Keywords and Phrases: Iwasawa algebra; compact $p$-adic analytic group; complete noetherian semilocal ring; Auslander-Gorenstein condition

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