Support -tilting modules and recollements
X Ma, Z Xie, T Zhao - arXiv preprint arXiv:1801.02343, 2018 - arxiv.org
X Ma, Z Xie, T Zhao
arXiv preprint arXiv:1801.02343, 2018•arxiv.orgLet $(\mbox {mod}\Lambda',\mbox {mod}\Lambda,\mbox {mod}\Lambda'') $ be a recollement
of abelian categories for artin algebras $\Lambda'$, $\Lambda $ and $\Lambda''$. Under
certain conditions, we present an explicit construction of gluing of (support) $\tau $-tilting
modules in $\mbox {mod}\Lambda $ with respect to (support) $\tau $-tilting modules in
$\mbox {mod}\Lambda'$ and $\mbox {mod}\Lambda''$ respectively; conversely, we study the
construction of (support) $\tau $-tilting modules in $\mbox {mod}\Lambda'$ and $\mbox …
of abelian categories for artin algebras $\Lambda'$, $\Lambda $ and $\Lambda''$. Under
certain conditions, we present an explicit construction of gluing of (support) $\tau $-tilting
modules in $\mbox {mod}\Lambda $ with respect to (support) $\tau $-tilting modules in
$\mbox {mod}\Lambda'$ and $\mbox {mod}\Lambda''$ respectively; conversely, we study the
construction of (support) $\tau $-tilting modules in $\mbox {mod}\Lambda'$ and $\mbox …
Let be a recollement of abelian categories for artin algebras , and . Under certain conditions, we present an explicit construction of gluing of (support) -tilting modules in with respect to (support) -tilting modules in and respectively; conversely, we study the construction of (support) -tilting modules in and obtained from (support) -tilting modules in .
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