Abstract
We introduce compatible bimodules. If M is a compatible A–B-bimodule, then the Gorenstein-projective modules over algebra Λ=(AM0B) are explicitly described; and if Λ is Gorenstein, then this description implies that M is compatible. As an application, if M is compatible, then there is a left recollement of the stable category GP(Λ)̲; and if Λ is Gorenstein and MA is projective, then there is a symmetric recollement of the singularity category Dsgb(Λ).
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
