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2014 Intermediate co-$t$-structures, two-term silting objects, $\tau$-tilting modules, and torsion classes
Osamu Iyama, Peter Jørgensen, Dong Yang
Algebra Number Theory 8(10): 2413-2431 (2014). DOI: 10.2140/ant.2014.8.2413

Abstract

If (A,B) and (A,B) are co-t-structures of a triangulated category, then (A,B) is called intermediate if AAΣA. Our main results show that intermediate co-t-structures are in bijection with two-term silting subcategories, and also with support τ-tilting subcategories under some assumptions. We also show that support τ-tilting subcategories are in bijection with certain finitely generated torsion classes. These results generalise work by Adachi, Iyama, and Reiten.

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Osamu Iyama. Peter Jørgensen. Dong Yang. "Intermediate co-$t$-structures, two-term silting objects, $\tau$-tilting modules, and torsion classes." Algebra Number Theory 8 (10) 2413 - 2431, 2014. https://doi.org/10.2140/ant.2014.8.2413

Information

Received: 7 December 2013; Revised: 13 October 2014; Accepted: 6 December 2014; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1305.18048
MathSciNet: MR3298544
Digital Object Identifier: 10.2140/ant.2014.8.2413

Subjects:
Primary: 18E30
Secondary: 18E40

Rights: Copyright © 2014 Mathematical Sciences Publishers

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