{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:20:22Z","timestamp":1740122422598,"version":"3.37.3"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2022,1,28]],"date-time":"2022-01-28T00:00:00Z","timestamp":1643328000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,28]],"date-time":"2022-01-28T00:00:00Z","timestamp":1643328000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Categor Struct"],"published-print":{"date-parts":[[2022,6]]},"DOI":"10.1007\/s10485-021-09667-5","type":"journal-article","created":{"date-parts":[[2022,1,28]],"date-time":"2022-01-28T00:04:41Z","timestamp":1643328281000},"page":"593-610","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Relative Silting Theorem"],"prefix":"10.1007","volume":"30","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0488-992X","authenticated-orcid":false,"given":"Razieh","family":"Vahed","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,1,28]]},"reference":[{"key":"9667_CR1","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1112\/S0010437X13007422","volume":"150","author":"T Adachi","year":"2014","unstructured":"Adachi, T., Iyama, O., Reiten, I.: $$\\tau $$-tilting theory. Compos. Math. 150, 415\u2013452 (2014)","journal-title":"Compos. Math."},{"issue":"2","key":"9667_CR2","doi-asserted-by":"publisher","first-page":"633","DOI":"10.1112\/jlms\/jdr055","volume":"85","author":"T Aihara","year":"2012","unstructured":"Aihara, T., Iyama, O.: Silting mutation in triangulated categories. J. London Math. Soc. 85(2), 633\u2013668 (2012)","journal-title":"J. London Math. Soc."},{"issue":"6","key":"9667_CR3","doi-asserted-by":"publisher","first-page":"2523","DOI":"10.1090\/S0002-9947-03-03261-6","volume":"355","author":"L Alonso Tarr\u00edo","year":"2003","unstructured":"Alonso Tarr\u00edo, L., Jerem\u00edas Lop\u00e9z, A., Souto-Salorio, M.: Constructions of $$t$$-structures and equivalences of derived categories. Trans. Amer. Math. Soc. 355(6), 2523\u20132543 (2003)","journal-title":"Trans. Amer. Math. Soc."},{"key":"9667_CR4","doi-asserted-by":"publisher","first-page":"658","DOI":"10.1112\/blms.12264","volume":"51","author":"L Angeleri H\u00fcgel","year":"2019","unstructured":"Angeleri H\u00fcgel, L.: Silting objects. Bull. Lond. Math. Soc. 51, 658\u2013690 (2019)","journal-title":"Bull. Lond. Math. Soc."},{"key":"9667_CR5","doi-asserted-by":"publisher","first-page":"1251","DOI":"10.1093\/imrn\/rnv191","volume":"4","author":"L Angeleri H\u00fcgel","year":"2016","unstructured":"Angeleri H\u00fcgel, L., Marks, F., Vit\u00f3ria, J.: Silting modules. Int. Math. Res. Not. 4, 1251\u20131284 (2016)","journal-title":"Int. Math. Res. Not."},{"key":"9667_CR6","doi-asserted-by":"publisher","first-page":"888","DOI":"10.1016\/j.jpaa.2013.10.007","volume":"218","author":"J Asadollahi","year":"2014","unstructured":"Asadollahi, J., Hafezi, R., Vahed, R.: Gorenstein derived equivalences and their invariants. J. Pure Appl. Algebra 218, 888\u2013903 (2014)","journal-title":"J. Pure Appl. Algebra"},{"key":"9667_CR7","doi-asserted-by":"publisher","first-page":"5454","DOI":"10.1080\/00927872.2016.1172618","volume":"44","author":"J Asadollahi","year":"2016","unstructured":"Asadollahi, J., Bahiraei, P., Hafezi, R., Vahed, R.: On relative derived categories. Commun. Algebra 44, 5454\u20135477 (2016)","journal-title":"Commun. Algebra"},{"key":"9667_CR8","doi-asserted-by":"crossref","unstructured":"Auslander, M.: A functorial approach to representation theory. Representations of algebras (Puebla, 1980), pp. 105\u2013179, Lecture Notes in Math., 944, Springer, Berlin-New York (1982)","DOI":"10.1007\/BFb0094058"},{"key":"9667_CR9","doi-asserted-by":"publisher","first-page":"306","DOI":"10.1016\/S0001-8708(74)80007-1","volume":"12","author":"M Auslander","year":"1974","unstructured":"Auslander, M., Reiten, I.: Stable equivalence of dualizing $$R$$-varieties. Adv. Math. 12, 306\u2013366 (1974)","journal-title":"Adv. Math."},{"key":"9667_CR10","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1016\/0001-8708(91)90037-8","volume":"86","author":"M Auslander","year":"1991","unstructured":"Auslander, M., Reiten, I.: Applications of contravariantly finite subcategories. Adv. Math. 86, 111\u2013152 (1991)","journal-title":"Adv. Math."},{"key":"9667_CR11","doi-asserted-by":"crossref","unstructured":"Auslander, M., Reiten, I.: Cohen-Macaulay and Gorenstein artin algebras, In: Progress in Math. 95, Birkh\u00e4user Verlag Basel, pp 221\u2013245 (1991)","DOI":"10.1007\/978-3-0348-8658-1_8"},{"key":"9667_CR12","unstructured":"Beilinson, A., Bernstein, J., Deligne, P.: Faisceaux Pervers, Analysis and topology on singular spaces, I (Luminy, 1981), 5\u2013171, Asterisque, 100. Soc. Math. France, Paris (1982)"},{"key":"9667_CR13","doi-asserted-by":"publisher","first-page":"1973","DOI":"10.1016\/j.aim.2010.09.006","volume":"226","author":"A Beligiannis","year":"2011","unstructured":"Beligiannis, A.: On algebras of finite Cohen-Macaulay type. Adv. Math. 226, 1973\u20132019 (2011)","journal-title":"Adv. Math."},{"key":"9667_CR14","doi-asserted-by":"crossref","unstructured":"Beligiannis, A., Reiten, I.: Homological and Homotopical Aspects of Torsion Theories, Mem. Amer. Math. Soc., vol. 188, Amer. Math. Soc., Providence, RI, (2007)","DOI":"10.1090\/memo\/0883"},{"key":"9667_CR15","unstructured":"Breaz, S., Modoi, C.: Equivalences induced by infinitely generated silting modules, available at arXiv:1705.10981"},{"key":"9667_CR16","doi-asserted-by":"crossref","unstructured":"Brenner, S., Butler, M.C.R.: Generalizations of the Bernstein\u2013Gelfand\u2013Ponomarev reflection functors. In: Representation Theory, II, Proceedings of Second International Conference, Carleton University, Ottawa, Ont., 1979, in: Lecture Notes in Math., vol. 832, Springer, Berlin, New York, pp. 103\u2013169 (1980)","DOI":"10.1007\/BFb0088461"},{"key":"9667_CR17","doi-asserted-by":"publisher","first-page":"2748","DOI":"10.1016\/j.jpaa.2015.12.009","volume":"220","author":"AB Buan","year":"2016","unstructured":"Buan, A.B., Zhou, Y.: A silting theorem. J. Pure Appl. Algebra 220, 2748\u20132770 (2016)","journal-title":"J. Pure Appl. Algebra"},{"key":"9667_CR18","doi-asserted-by":"publisher","first-page":"2718","DOI":"10.1016\/j.jalgebra.2010.09.002","volume":"324","author":"XW Chen","year":"2010","unstructured":"Chen, X.W.: Homotopy equivalences induced by balanced pairs. J. Algebra 324, 2718\u20132731 (2010)","journal-title":"J. Algebra"},{"key":"9667_CR19","doi-asserted-by":"publisher","first-page":"2043","DOI":"10.1016\/j.aim.2008.04.004","volume":"218","author":"XW Chen","year":"2008","unstructured":"Chen, X.W.: An Auslander-type result for Gorenstein-projective modules. Adv. Math. 218, 2043\u20132050 (2008)","journal-title":"Adv. Math."},{"key":"9667_CR20","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1016\/0021-8693(86)90224-3","volume":"104","author":"E Cline","year":"1986","unstructured":"Cline, E., Parshall, B., Scott, L.: Derived categories and Morita theory. J. Algebra 104, 397\u2013409 (1986)","journal-title":"J. Algebra"},{"key":"9667_CR21","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/j.jalgebra.2005.12.007","volume":"302","author":"LW Christensen","year":"2006","unstructured":"Christensen, L.W., Frankild, A., Holm, H.: On Gorenstein projective, injective and flat dimensions: a functorial description with applications. J. Algebra 302, 231\u2013279 (2006)","journal-title":"J. Algebra"},{"key":"9667_CR22","doi-asserted-by":"crossref","unstructured":"Eilenberg, S., Moore, J.C.: Foundations of relative homological algebra. Mem. Amer. Math. Soc. 55 (1965)","DOI":"10.1090\/memo\/0055"},{"key":"9667_CR23","doi-asserted-by":"publisher","first-page":"611","DOI":"10.1007\/BF02572634","volume":"220","author":"E Enochs","year":"1995","unstructured":"Enochs, E., Jenda, O.: Gorenstein injective and projective modules. Math. Z. 220, 611\u2013633 (1995)","journal-title":"Math. Z."},{"key":"9667_CR24","doi-asserted-by":"publisher","DOI":"10.1515\/9783110803662","volume-title":"Relative Homological Algebra","author":"E Enochs","year":"2000","unstructured":"Enochs, E., Jenda, O.: Relative Homological Algebra. Walter de Gruyter, Berlin (2000)"},{"key":"9667_CR25","doi-asserted-by":"publisher","first-page":"2041","DOI":"10.1016\/j.jalgebra.2010.01.027","volume":"323","author":"N Gao","year":"2010","unstructured":"Gao, N., Zhang, P.: Gorenstein derived categories. J. Algebra 323, 2041\u20132057 (2010)","journal-title":"J. Algebra"},{"key":"9667_CR26","unstructured":"Happel, D.: Homological conjectures in representation theory of finite-dimensional algebras, Sherbrook Lecture Notes Ser. (1991)"},{"issue":"2","key":"9667_CR27","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1090\/S0002-9947-1982-0675063-2","volume":"274","author":"D Happel","year":"1982","unstructured":"Happel, D., Ringel, C.M.: Tilted algebras. Trans. Am. Math. Soc. 274(2), 399\u2013443 (1982)","journal-title":"Trans. Am. Math. Soc."},{"issue":"7","key":"9667_CR28","doi-asserted-by":"publisher","first-page":"1913","DOI":"10.1090\/S0002-9939-04-07317-4","volume":"132","author":"H Holm","year":"2004","unstructured":"Holm, H.: Gorenstein derived functors. Proc. Amer. Math. Soc. 132(7), 1913\u20131923 (2004)","journal-title":"Proc. Amer. Math. Soc."},{"key":"9667_CR29","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1016\/S0022-4049(01)00012-3","volume":"167","author":"M Hoshino","year":"2002","unstructured":"Hoshino, M., Kato, Y., Miyachi, J.: On t-structures and torsion theories induced by compact objects. J. Pure Appl. Algebra 167, 15\u201335 (2002)","journal-title":"J. Pure Appl. Algebra"},{"key":"9667_CR30","doi-asserted-by":"publisher","first-page":"59","DOI":"10.4171\/JEMS\/72","volume":"9","author":"P J\u00f8rgensen","year":"2007","unstructured":"J\u00f8rgensen, P.: Existence of Gorenstein projective resolutions and Tate cohomology. J. Eur. Math. Soc. 9, 59\u201376 (2007)","journal-title":"J. Eur. Math. Soc."},{"key":"9667_CR31","doi-asserted-by":"publisher","first-page":"1028","DOI":"10.1093\/imrn\/rns009","volume":"5","author":"B Keller","year":"2013","unstructured":"Keller, B., Nicol\u00e1s, P.: Weight structures and simple dg modules for positive dg algebras. Int. Math. Res. Not. 5, 1028\u20131078 (2013)","journal-title":"Int. Math. Res. Not."},{"issue":"2","key":"9667_CR32","first-page":"239","volume":"40","author":"B Keller","year":"1988","unstructured":"Keller, B., Vossieck, D.: Aisles in derived categories. Bull. Soc. Math. Belg. Ser. A 40(2), 239\u2013253 (1988)","journal-title":"Bull. Soc. Math. Belg. Ser. A"},{"key":"9667_CR33","doi-asserted-by":"crossref","first-page":"403","DOI":"10.4171\/dm\/451","volume":"19","author":"S Koenig","year":"2014","unstructured":"Koenig, S., Yang, D.: Silting objects, simple-minded collections, $$t$$-structures and co-$$t$$-structures for finite dimensional algebras. Doc. Math. 19, 403\u2013438 (2014)","journal-title":"Doc. Math."},{"key":"9667_CR34","doi-asserted-by":"publisher","first-page":"728","DOI":"10.1016\/j.aim.2009.09.003","volume":"223","author":"ZW Li","year":"2010","unstructured":"Li, Z.W., Zhang, P.: Gorenstein algebras of finite Cohen-Macaulay type. Adv. Math. 223, 728\u2013734 (2010)","journal-title":"Adv. Math."},{"issue":"5","key":"9667_CR35","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1007\/s10485-011-9271-2","volume":"21","author":"O Mendoza Hern\u00e1ndez","year":"2013","unstructured":"Mendoza Hern\u00e1ndez, O., S\u00e1enz Valadez, E., Santiago Vargas, V., Souto Salorio, M.: Auslander-Buchweitz context and co-$$t$$-structures. Appl. Categ. Struct. 21(5), 417\u2013440 (2013)","journal-title":"Appl. Categ. Struct."},{"key":"9667_CR36","doi-asserted-by":"publisher","first-page":"2273","DOI":"10.1016\/j.jpaa.2018.07.016","volume":"223","author":"P Nicol\u00e1s","year":"2019","unstructured":"Nicol\u00e1s, P., Saor\u00edn, M., Zvonareva, A.: Silting theory in triangulated categories with coproducts. J. Pure Appl. Algebra 223, 2273\u20132319 (2019)","journal-title":"J. Pure Appl. Algebra"},{"key":"9667_CR37","doi-asserted-by":"publisher","first-page":"965","DOI":"10.1007\/s00209-017-1923-y","volume":"288","author":"C Psaroudakis","year":"2018","unstructured":"Psaroudakis, C., Vit\u00f3ria, J.: Realisation functors in tilting theory. Math. Z. 288, 965\u20131028 (2018)","journal-title":"Math. Z."},{"issue":"2","key":"9667_CR38","doi-asserted-by":"publisher","first-page":"436","DOI":"10.1112\/jlms\/s2-39.3.436","volume":"39","author":"J Rickard","year":"1989","unstructured":"Rickard, J.: Morita theory for derived category. J. Lond. Math. Soc. 39(2), 436\u2013456 (1989)","journal-title":"J. Lond. Math. Soc."},{"key":"9667_CR39","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1515\/CRELLE.2008.001","volume":"614","author":"CM Ringel","year":"2008","unstructured":"Ringel, C.M., Schmidmeier, M.: Invariant subspaces of nilpotent linear operators. I. J. Reine Angew. Math. 614, 1\u201352 (2008)","journal-title":"J. Reine Angew. Math."},{"issue":"2","key":"9667_CR40","doi-asserted-by":"publisher","first-page":"871","DOI":"10.1007\/s11856-012-0093-1","volume":"194","author":"J Wei","year":"2013","unstructured":"Wei, J.: Semi-tilting complexes. Israel J. Math. 194(2), 871\u2013893 (2013)","journal-title":"Israel J. Math."},{"issue":"2","key":"9667_CR41","doi-asserted-by":"publisher","first-page":"663","DOI":"10.1112\/jlms\/jdq035","volume":"82","author":"J Woolf","year":"2010","unstructured":"Woolf, J.: Stability conditions, torsion theories and tilting. J. London Math. Soc. 82(2), 663\u2013682 (2010)","journal-title":"J. London Math. Soc."}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-021-09667-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10485-021-09667-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-021-09667-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,25]],"date-time":"2023-01-25T00:35:31Z","timestamp":1674606931000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10485-021-09667-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,28]]},"references-count":41,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,6]]}},"alternative-id":["9667"],"URL":"https:\/\/doi.org\/10.1007\/s10485-021-09667-5","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"type":"print","value":"0927-2852"},{"type":"electronic","value":"1572-9095"}],"subject":[],"published":{"date-parts":[[2022,1,28]]},"assertion":[{"value":"4 December 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 December 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 January 2022","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}