2011
DOI: 10.1007/s10485-011-9271-2
|View full text |Cite
|
Sign up to set email alerts
|

Auslander–Buchweitz Context and Co-t-structures

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
37
0

Year Published

2015
2015
2023
2023

Publication Types

Select...
7

Relationship

0
7

Authors

Journals

citations
Cited by 47 publications
(37 citation statements)
references
References 12 publications
0
37
0
Order By: Relevance
“…Recall from [1, Definition 4.1] that an object S ∈ T , where T is a triangulated category with small coproducts, is called silting if T (S, Σ i S) = 0 for all i > 0 and S = {S[i] | i ∈ Z} is a set of compact generators of T in the sense of Definition 2.8. As an easy consequence of results in [17,53] we obtain: Corollary 5.7. Let R be connected commutative noetherian ring.…”
Section: Perfect Co-t-structures In the Commutative Noetherian Casementioning
confidence: 58%
See 3 more Smart Citations
“…Recall from [1, Definition 4.1] that an object S ∈ T , where T is a triangulated category with small coproducts, is called silting if T (S, Σ i S) = 0 for all i > 0 and S = {S[i] | i ∈ Z} is a set of compact generators of T in the sense of Definition 2.8. As an easy consequence of results in [17,53] we obtain: Corollary 5.7. Let R be connected commutative noetherian ring.…”
Section: Perfect Co-t-structures In the Commutative Noetherian Casementioning
confidence: 58%
“…Let us recall the concepts of a (compactly generated) t-structure [9] and a co-t-structure [17,53,57] on a triangulated category. …”
Section: 1mentioning
confidence: 99%
See 2 more Smart Citations
“…Silting complexes were first introduced by Keller and Vossieck [19] to study t-structures in the bounded derived category of representations of Dynkin quivers. Beginning with [2], such objects were recently shown to have various nice properties [20,21]. The results in [27] show that silting complexes (i.e., semi-tilting complexes in [27]) have similar properties as that tilting modules have in the module categories.…”
Section: Introductionmentioning
confidence: 99%