Orbit algebras and periodicity

• Autorzy: Petter Andreas Bergh
• Języki publikacji: EN

Abstrakty

EN

Given an object in a category, we study its orbit algebra with respect to an endofunctor. We show that if the object is periodic, then its orbit algebra modulo nilpotence is a polynomial ring in one variable. This specializes to a result on Ext-algebras of periodic modules over Gorenstein algebras. We also obtain a criterion for an algebra to be of wild representation type.

Kategorie tematyczne

• 16G60: Representation type (finite, tame, wild, etc.)
• 16E30: Homological functors on modules (Tor, Ext, etc.)
• 16B50: Category-theoretic methods and results (except as in )
• 16E05: Syzygies, resolutions, complexes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 114
• Numer: 2
• Strony: 245-252

Daty

wydano

2009

Twórcy

autor

Petter Andreas Bergh

• Institutt for matematiske fag, NTNU, N-7491 Trondheim, Norway

Identyfikatory

DOI

10.4064/cm114-2-7