On the existence of super-decomposable pure-injective modules over strongly simply connected algebras of non-polynomial growth

• Autorzy: Stanisław Kasjan , Grzegorz Pastuszak
• Języki publikacji: EN

Abstrakty

EN

Assume that k is a field of characteristic different from 2. We show that if Γ is a strongly simply connected k-algebra of non-polynomial growth, then there exists a special family of pointed Γ-modules, called an independent pair of dense chains of pointed modules. Then it follows by a result of Ziegler that Γ admits a super-decomposable pure-injective module if k is a countable field.

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 06C05: Modular lattices, Desarguesian lattices
• 16G60: Representation type (finite, tame, wild, etc.)
• 03C57: Effective and recursion-theoretic model theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 136
• Numer: 2
• Strony: 179-220

Daty

wydano

2014

Twórcy

autor

Stanisław Kasjan

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, 87-100 Toruń, Poland

autor

Grzegorz Pastuszak

• Center for Theoretical Physics of the, Polish Academy of Sciences, Al. Lotników 32/46, 02-668 Warszawa, Poland

Identyfikatory

DOI

10.4064/cm136-2-3