$\boldsymbol{n}$-Recollements and upper recollements of derived module categories
$\boldsymbol{n}$-Recollements and upper recollements of derived module categories
For Artin algebras,we characterize $1$-recollements and $2$-recollements of their unbounded derived categories in terms ofupper (respectively lower) recollements of certain subcategories.As a result, we clarify the relationship betweenupper (respectively lower) recollements of derived categoriesand the finiteness of global (respectively finiteness) dimension of algebras,which generalizes a result of Yin and Gao …