{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T06:23:17Z","timestamp":1773814997750,"version":"3.50.1"},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2020,9,2]],"date-time":"2020-09-02T00:00:00Z","timestamp":1599004800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,9,2]],"date-time":"2020-09-02T00:00:00Z","timestamp":1599004800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"name":"ITB","award":["P3MI ITB 2019"],"award-info":[{"award-number":["P3MI ITB 2019"]}]},{"DOI":"10.13039\/501100006115","name":"Institute for Research in Fundamental Sciences","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100006115","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Categor Struct"],"published-print":{"date-parts":[[2021,2]]},"DOI":"10.1007\/s10485-020-09608-8","type":"journal-article","created":{"date-parts":[[2020,9,2]],"date-time":"2020-09-02T14:04:34Z","timestamp":1599055474000},"page":"31-68","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Different Exact Structures on the Monomorphism Categories"],"prefix":"10.1007","volume":"29","author":[{"given":"Rasool","family":"Hafezi","sequence":"first","affiliation":[]},{"given":"Intan","family":"Muchtadi-Alamsyah","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,9,2]]},"reference":[{"key":"9608_CR1","doi-asserted-by":"crossref","unstructured":"Auslander, M., Coherent functors. In: Proceedings of the Conference on Categorical Algebra (La Jolla, Calif., 1965), pp. 189\u2013231. Springer, New York (1966)","DOI":"10.1007\/978-3-642-99902-4_8"},{"issue":"3","key":"9608_CR2","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(3), 306\u2013366 (1974)","journal-title":"Adv. Math."},{"key":"9608_CR3","doi-asserted-by":"publisher","first-page":"371","DOI":"10.1112\/jlms\/s2-12.3.371","volume":"12","author":"M Auslander","year":"1976","unstructured":"Auslander, M., Reiten, I.: On the representation type of triangular matrix rings. J. Lond. Math. Soc. 12, 371\u2013382 (1976)","journal-title":"J. Lond. Math. Soc."},{"issue":"2","key":"9608_CR4","doi-asserted-by":"publisher","first-page":"426","DOI":"10.1016\/0021-8693(81)90214-3","volume":"69","author":"M Auslander","year":"1981","unstructured":"Auslander, M., Smal\u00f8, S.O.: Almost split sequences in subcategories. J. Algebra 69(2), 426\u2013454 (1981)","journal-title":"J. Algebra"},{"issue":"1","key":"9608_CR5","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.exmath.2009.04.004","volume":"28","author":"T Buehler","year":"2010","unstructured":"Buehler, T.: Exact categories. Expos. Math. 28(1), 1\u201369 (2010)","journal-title":"Expos. Math."},{"key":"9608_CR6","unstructured":"Buchweitz, R.-O.: Maximal Cohen\u2013Macaulay modules and Tate cohomology over Gorenstein rings, Hamburg, p. 155 (unpublished manuscript) (1987)"},{"key":"9608_CR7","unstructured":"Chen, X.W., Sun, L.G.: Singular equivalences of Morita type (preprint) (2012)"},{"key":"9608_CR8","doi-asserted-by":"publisher","first-page":"98","DOI":"10.1016\/j.jalgebra.2017.05.012","volume":"486","author":"\u00d6 Eiriksson","year":"2017","unstructured":"Eiriksson, \u00d6.: From submodule categories to the stable Auslander algebra. J. Algebra 486, 98\u2013118 (2017)","journal-title":"J. Algebra"},{"issue":"4","key":"9608_CR9","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(4), 611\u2013633 (1995)","journal-title":"Math. Z."},{"key":"9608_CR10","doi-asserted-by":"crossref","unstructured":"Freyd, P.: Representations in abelian categories. In: Proceedings of the Conference on Categorical Algebra (La Jolla, Calif., 1965), pp. 95\u2013120. Springer, New York (1966)","DOI":"10.1007\/978-3-642-99902-4_4"},{"key":"9608_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01076433","volume":"13","author":"IM Gelfand","year":"1979","unstructured":"Gelfand, I.M., Ponomarev, V.A.: Model algebras and representations of graphs. Funktsional. Anal. i Prilozhen. 13, 1\u201312 (1979)","journal-title":"Funktsional. Anal. i Prilozhen."},{"key":"9608_CR12","unstructured":"Hafezi, R.: Auslander\u2013Reiten duality for subcategories. arXiv:1705.06684"},{"key":"9608_CR13","unstructured":"Hafezi, R.: From subcategories to the entire module categories. arXiv:1905.08597"},{"key":"9608_CR14","series-title":"London Mathematical Society. Lecture Notes Series","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511629228","volume-title":"Triangulated Categories in the Representation Theory of Finite Dimensional Algebras","author":"D Happel","year":"1988","unstructured":"Happel, D.: Triangulated Categories in the Representation Theory of Finite Dimensional Algebras. London Mathematical Society. Lecture Notes Series, vol. 119. Cambridge University Press, Cambridge (1988)"},{"key":"9608_CR15","doi-asserted-by":"crossref","unstructured":"Happel, D.: On Gorenstein rings. In: Representation Theory of Finite Groups and Finite-Dimensional Algebras (Bielefeld, 1991), pp. 389\u2013404. Progr. Math. 95, Birkh\u00e4user (1991)","DOI":"10.1007\/978-3-0348-8658-1_16"},{"issue":"1","key":"9608_CR16","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1016\/j.aim.2006.06.003","volume":"210","author":"O Iyama","year":"2007","unstructured":"Iyama, O.: Auslander correspondence. Adv. Math. 210(1), 51\u201382 (2007)","journal-title":"Adv. Math."},{"key":"9608_CR17","unstructured":"Iyama, O., Nakaoka, H., Palu, Y.: Auslander\u2013Reiten theory in extriangulated categories. arXiv:1805.03776"},{"issue":"12","key":"9608_CR18","doi-asserted-by":"publisher","first-page":"1850227","DOI":"10.1142\/S0219498818502274","volume":"17","author":"P Jiao","year":"2018","unstructured":"Jiao, P.: The generalized Auslander\u2013Reiten duality on an exact category. J. Algebra Appl. 17(12), 1850227 (2018)","journal-title":"J. Algebra Appl."},{"key":"9608_CR19","doi-asserted-by":"crossref","unstructured":"Keller, B.: Derived categories and their uses. In: Handbook of Algebra, vol. 1. Handbook of Algebra, pp. 671\u2013701. Elsevier, Amsterdam (1996)","DOI":"10.1016\/S1570-7954(96)80023-4"},{"key":"9608_CR20","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1016\/j.exmath.2015.10.001","volume":"33","author":"H Krause","year":"2015","unstructured":"Krause, H.: Krull\u2013Schmidt categories and projective covers. Expos. Math. 33, 535\u2013549 (2015)","journal-title":"Expos. Math."},{"issue":"6","key":"9608_CR21","doi-asserted-by":"publisher","first-page":"1191","DOI":"10.1353\/ajm.2005.0041","volume":"127","author":"H Krause","year":"2005","unstructured":"Krause, H.: Cohomological quotients and smashing localizations. Am. J. Math. 127(6), 1191\u20131246 (2005)","journal-title":"Am. J. Math."},{"key":"9608_CR22","first-page":"1","volume":"1","author":"S Kvamme","year":"2018","unstructured":"Kvamme, S.: Gorenstein projective objects in functor categories. Nagoya Math. J. 1, 1\u201341 (2018)","journal-title":"Nagoya Math. J."},{"key":"9608_CR23","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/j.jalgebra.2019.12.024","volume":"551","author":"Z Lin","year":"2020","unstructured":"Lin, Z.: Abelian quotients of categories of short exact sequences. J. Algebra 551, 61\u201392 (2020)","journal-title":"J. Algebra"},{"key":"9608_CR24","doi-asserted-by":"publisher","first-page":"1802","DOI":"10.1016\/j.jalgebra.2009.12.030","volume":"323","author":"Z-W Li","year":"2010","unstructured":"Li, Z.-W., Zhang, P.: A construction of Gorenstein-projective modules. J. Algebra 323, 1802\u20131812 (2010)","journal-title":"J. Algebra"},{"issue":"1\u20132","key":"9608_CR25","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1007\/s00209-016-1706-x","volume":"285","author":"H Matsu","year":"2017","unstructured":"Matsu, H., Takahashi, R.: Singularity categories and singular equivalences for resolving subcategories. Math. Z. 285(1\u20132), 251\u2013286 (2017)","journal-title":"Math. Z."},{"key":"9608_CR26","series-title":"Annals of Mathematics Studies","doi-asserted-by":"publisher","DOI":"10.1515\/9781400837212","volume-title":"Triangulated Categories","author":"A Neeman","year":"2001","unstructured":"Neeman, A.: Triangulated Categories. Annals of Mathematics Studies, vol. 148. Princeton University Press, Princeton (2001)"},{"key":"9608_CR27","unstructured":"Nakaoka, H., Palu, Y.: Mutation via Hovey twin cotorsion pairs and model structures in extriangulated categories. arXiv:1605.05607v3"},{"issue":"2","key":"9608_CR28","doi-asserted-by":"publisher","first-page":"317","DOI":"10.17323\/1609-4514-2011-11-2-317-402","volume":"11","author":"L Positselski","year":"2011","unstructured":"Positselski, L.: Mixed Artin-Tate motives with finite coefficients. Mosc. Math. J. 11(2), 317\u2013402 (2011)","journal-title":"Mosc. Math. J."},{"issue":"3","key":"9608_CR29","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1016\/0022-4049(89)90081-9","volume":"61","author":"J Rickard","year":"1989","unstructured":"Rickard, J.: Derived categories and stable equivalence. J. Pure Appl. Algebra 61(3), 303\u2013317 (1989)","journal-title":"J. Pure Appl. Algebra"},{"key":"9608_CR30","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":"9608_CR31","doi-asserted-by":"publisher","first-page":"691","DOI":"10.1090\/S0002-9947-07-04183-9","volume":"360","author":"CM Ringel","year":"2008","unstructured":"Ringel, C.M., Schmidmeier, M.: The Auslander\u2013Reiten translation in submodule categories. Trans. Am. Math. Soc. 360(2), 691\u2013716 (2008)","journal-title":"Trans. Am. Math. Soc."},{"issue":"1\u20132","key":"9608_CR32","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1007\/s00209-014-1305-7","volume":"278","author":"CM Ringel","year":"2014","unstructured":"Ringel, C.M., Zhang, P.: From submodule categories to preprojective algebras. Math. Z. 278(1\u20132), 55\u201373 (2014)","journal-title":"Math. Z."},{"key":"9608_CR33","doi-asserted-by":"crossref","unstructured":"Verdier, J.L.: Cat\u00e9gories d\u00e9riv\u00e9es: \u00e9tat 0. In: SGA $4\\frac{1}{2}$, vol. 569, pp. 262\u2013311. Springer, Berlin (1977)","DOI":"10.1007\/BFb0091525"},{"key":"9608_CR34","volume-title":"Representation Theory; A Homological Algebra Point of View, Algebra and Applications","author":"A Zimmermann","year":"2014","unstructured":"Zimmermann, A.: Representation Theory; A Homological Algebra Point of View, Algebra and Applications, vol. 19. Springer, Cham (2014)"},{"key":"9608_CR35","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1016\/j.jalgebra.2013.03.019","volume":"385","author":"G Zhou","year":"2013","unstructured":"Zhou, G., Zimmermann, A.: On singular equivalences of Morita type. J. Algebra 385, 64\u201379 (2013)","journal-title":"J. Algebra"}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-020-09608-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10485-020-09608-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-020-09608-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,2]],"date-time":"2021-09-02T00:25:06Z","timestamp":1630542306000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10485-020-09608-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,2]]},"references-count":35,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["9608"],"URL":"https:\/\/doi.org\/10.1007\/s10485-020-09608-8","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"value":"0927-2852","type":"print"},{"value":"1572-9095","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,2]]},"assertion":[{"value":"21 January 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 August 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 September 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}