On t-structures and Torsion Theories Induced by Compact Objects
| dc.creator | Hoshino, Mitsuo | |
| dc.creator | Kato, Yoshiaki | |
| dc.creator | Miyachi, Jun-ichi | |
| dc.date | 2000-05-17 | |
| dc.date.accessioned | 2026-07-07T04:35:20Z | |
| dc.date.available | 2026-07-07T04:35:20Z | |
| dc.description | First, we show that a compact object $C$ in a triangulated category, which satisfies suitable conditions, induces a $t$-structure. Second, in an abelian category we show that a complex $P^{\centerdot}$ of small projective objects of term length two, which satisfies suitable conditions, induces a torsion theory. In the case of module categories, using a torsion theory, we give equivalent conditions for $P^{\centerdot}$ to be a tilting complex. Finally, in the case of artin algebras, we give one to one correspondence between tilting complexes of term length two and torsion theories with certain conditions. | |
| dc.description | 17 pages, AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0005172 | |
| dc.identifier | http://arxiv.org/abs/math/0005172 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59219 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Representation Theory | |
| dc.subject | 18E30;16S90;18E40;16G99 | |
| dc.title | On t-structures and Torsion Theories Induced by Compact Objects | |
| dc.type | text |