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

• Autorzy: Stanisław Kasjan
• Języki publikacji: 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].

Kategorie tematyczne

• 16G50: Cohen-Macaulay modules
• 16G20: Representations of quivers and partially ordered sets
• 16G30: Representations of orders, lattices, algebras over commutative rings
• 16G60: Representation type (finite, tame, wild, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 91
• Numer: 1
• Strony: 39-68

Daty

wydano

2002

Twórcy

autor

Stanisław Kasjan

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

Identyfikatory

DOI

10.4064/cm91-1-4