Strong no-loop conjecture for algebras with two simples and radical cube zero

• Autorzy: Bernt T. Jensen
• Języki publikacji: EN

Abstrakty

EN

Let Λ be an artinian ring and let 𝔯 denote its Jacobson radical. We show that a simple module of finite projective dimension has no self-extensions when Λ is graded by its radical, with at most two simple modules and 𝔯⁴ = 0, in particular, when Λ is a finite-dimensional algebra over an algebraically closed field with at most two simple modules and 𝔯³ = 0.

Kategorie tematyczne

• 16D10: General module theory
• 16E10: Homological dimension

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 102
• Numer: 1
• Strony: 1-7

Daty

wydano

2005

Twórcy

autor

Bernt T. Jensen

• Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom

Identyfikatory

DOI

10.4064/cm102-1-1