# Tame three-partite subamalgams of tiled orders of polynomial growth

Colloquium Mathematicae (1999)

- Volume: 81, Issue: 2, page 237-262
- ISSN: 0010-1354

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topSimson, Daniel. "Tame three-partite subamalgams of tiled orders of polynomial growth." Colloquium Mathematicae 81.2 (1999): 237-262. <http://eudml.org/doc/210737>.

@article{Simson1999,

abstract = {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.},

author = {Simson, Daniel},

journal = {Colloquium Mathematicae},

keywords = {forbidden substructures; tame orders of polynomial growth; tame three-partite subamalgams; matrix algebras; amalgamations; integral quadratic forms; hypercritical two-peak posets; two-peak garlands},

language = {eng},

number = {2},

pages = {237-262},

title = {Tame three-partite subamalgams of tiled orders of polynomial growth},

url = {http://eudml.org/doc/210737},

volume = {81},

year = {1999},

}

TY - JOUR

AU - Simson, Daniel

TI - Tame three-partite subamalgams of tiled orders of polynomial growth

JO - Colloquium Mathematicae

PY - 1999

VL - 81

IS - 2

SP - 237

EP - 262

AB - 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.

LA - eng

KW - forbidden substructures; tame orders of polynomial growth; tame three-partite subamalgams; matrix algebras; amalgamations; integral quadratic forms; hypercritical two-peak posets; two-peak garlands

UR - http://eudml.org/doc/210737

ER -

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