Tame three-partite subamalgams of tiled orders of polynomial growth

Simson, Daniel

Colloquium Mathematicae, Tome 79 (1999), p. 237-262 / Harvested from The Polish Digital Mathematics Library

Résumé

Assume that K is an algebraically closed field. Let D be a complete discrete valuation domain with a unique maximal ideal p and residue field D/p ≌ K. We also assume that D is an algebra over the field K . We study subamalgam D-suborders $Λ^•$ (1.2) of tiled D-orders Λ (1.1). A simple criterion for a tame lattice type subamalgam D-order $Λ^•$ to be of polynomial growth is given in Theorem 1.5. Tame lattice type subamalgam D-orders $Λ^•$ of non-polynomial growth are completely described in Theorem 6.2 and Corollary 6.3.

Détail

Publié le : 1999-01-01

Zbl 0937.16020

EUDML-ID : urn:eudml:doc:210737

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