On hereditary artinian rings and the pure semisimplicity conjecture: rigid tilting modules and a weak conjecture

• Autorzy: José L. García
• Języki publikacji: EN

Abstrakty

EN

A weak form of the pure semisimplicity conjecture is introduced and characterized through properties of matrices over division rings. The step from this weak conjecture to the full pure semisimplicity conjecture would be covered by proving that there do not exist counterexamples to the conjecture in a particular class of rings, which is also studied.

Kategorie tematyczne

• 16G60: Representation type (finite, tame, wild, etc.)
• 16D90: Module categories ; module theory in a category-theoretic context; Morita equivalence and duality

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 135
• Numer: 2
• Strony: 227-262

Daty

wydano

2014

Twórcy

autor

José L. García

• Department of Mathematics, University of Murcia, 30100 Murcia, Spain

Identyfikatory

DOI

10.4064/cm135-2-6