Article ID Journal Published Year Pages File Type
4585261 Journal of Algebra 2013 16 Pages PDF
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).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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