Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a property of $t$-structures generated by non-classical tilting
  modules   Let $R$ be a ring and $T \in {\rm Mod-}R$ be a (non-classical) tilting module
of finite projective dimension. Let $\mathcal T=({\mathcal T}^{\leq0},
{\mathcal T}^{\geq0})$ be the $t$-structure on $D(R)$ generated by $T$ and
${\mathcal D}=({\mathcal D}^{\leq0}, {\mathcal D}^{\geq0})$ be the natural
$t$-structure. We show that the pair $(\mathcal D, \mathcal T)$ is right
filterable in the sense of [FMT14], that is, for any $i\in\mathbb Z$ the
intersection ${\mathcal D}^{\geq i}\cap {\mathcal T}^{\geq 0}$ is the co-aisle
of a $t$-structure. As a consequence, the heart of $\mathcal T$ is derived
equivalent to ${\rm Mod-}R$.

29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: eess