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arxiv: 1606.06551 · v1 · pith:LDF6CPCGnew · submitted 2016-06-21 · 🧮 math.RT

Recollements and homological dimensions

classification 🧮 math.RT
keywords recollementsalgebrascategoriesderiveddimensiondimensionshomologicalbehavior
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We investigate the behavior of the homological dimensions under recollements of derived categories of algebras. In particular, we establish a series of new bounds among the selfinjective dimension or $\phi$-dimension of the algebras linked by recollements of derived module categories.

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