Tilting modules arising from ring epimorphisms

2008/04/08 by Hügel, Lidia Angeleri, Sánchez, Javier · 1 citation
#16E30 #16E60 #16P50 #16S10 #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0804.1313

Abstract

Given a ring R, we investigate tilting modules of the form S ⊕ S/R for some injective ring epimorphism R → S. In particular, we are interested in tilting modules arising from Schofield's universal localization. For some rings, in this way one obtains a classification of all tilting modules.

Cited by

• Flat epimorphisms and silting epimorphisms coincide for commutative rings

Related

• Tilting modules and universal localization
• Tilting Modules over Tame Hereditary Algebras
• Silting modules over commutative rings
• Generalized tilting modules with finite injective dimension
• Tilting Modules over Almost Perfect Domains