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• # Artykuł - szczegóły

## Colloquium Mathematicum

2002 | 91 | 1 | 39-68

## Tameness criterion for posets with zero-relations and three-partite subamalgams of tiled orders

EN

### Abstrakty

EN
A criterion for tame prinjective type for a class of posets with zero-relations is given in terms of the associated prinjective Tits quadratic form and a list of hypercritical posets. A consequence of this result is that if $Λ^{•}$ is a three-partite subamalgam of a tiled order then it is of tame lattice type if and only if the reduced Tits quadratic form $q_{Λ^{•}}$ associated with $Λ^{•}$ in [26] is weakly non-negative. The result generalizes a criterion for tameness of such orders given by Simson [28] and gives an affirmative answer to [28, Question 4.7].

39-68

wydano
2002

### Twórcy

autor
• Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland