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Assume thatK is an algebraically closed field. LetD 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 fieldK. 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.

Tame three-partite subamalgams of tiled orders of polynomial growth