{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,24]],"date-time":"2026-04-24T03:43:39Z","timestamp":1777002219841,"version":"3.51.4"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,10,1]],"date-time":"2023-10-01T00:00:00Z","timestamp":1696118400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"BOF grant","award":["01P12621"],"award-info":[{"award-number":["01P12621"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12201321"],"award-info":[{"award-number":["12201321"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Categor Struct"],"published-print":{"date-parts":[[2023,10]]},"DOI":"10.1007\/s10485-023-09748-7","type":"journal-article","created":{"date-parts":[[2023,10,3]],"date-time":"2023-10-03T06:02:20Z","timestamp":1696312940000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Continuous Nakayama Representations"],"prefix":"10.1007","volume":"31","author":[{"given":"Job Daisie","family":"Rock","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shijie","family":"Zhu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,10,3]]},"reference":[{"key":"9748_CR1","doi-asserted-by":"publisher","first-page":"382","DOI":"10.1006\/jabr.1997.6906","volume":"191","author":"H Asashiba","year":"1997","unstructured":"Asashiba, H.: A covering technique for derived equivalence. J. Algebra 191, 382\u2013415 (1997). https:\/\/doi.org\/10.1006\/jabr.1997.6906","journal-title":"J. Algebra"},{"key":"9748_CR2","doi-asserted-by":"publisher","first-page":"109","DOI":"10.1016\/j.jalgebra.2011.03.002","volume":"334","author":"H Asashiba","year":"2011","unstructured":"Asashiba, H.: A generalization of Gabriel\u2019s Galois covering functors and derived equivalences. J. Algebra 334, 109\u2013149 (2011). https:\/\/doi.org\/10.1016\/j.jalgebra.2011.03.002","journal-title":"J. Algebra"},{"key":"9748_CR3","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1007\/BF01396624","volume":"65","author":"K Bongartz","year":"1982","unstructured":"Bongartz, K., Gabriel, P.: Covering spaces in representation theory. Invent. Math. 65, 331\u2013378 (1982). https:\/\/doi.org\/10.1007\/BF01396624","journal-title":"Invent. Math."},{"issue":"5","key":"9748_CR4","doi-asserted-by":"publisher","first-page":"1550066","DOI":"10.1142\/S0219498815500668","volume":"14","author":"W Crawley-Boevey","year":"2015","unstructured":"Crawley-Boevey, W.: Decomposition of pointwise finite-dimensional persistence modules. J. Algebra Appl. 14(5), 1550066 (2015). https:\/\/doi.org\/10.1142\/S0219498815500668","journal-title":"J. Algebra Appl."},{"key":"9748_CR5","unstructured":"Gabriel, P., Ro\u012dter, A.V.: Representations of Finite Dimensional Algebras, p. 177. Algebra VIII, Encyclopaedia Math.\u00a0Sci.\u00a0Vol.\u00a073, Springer, Berlin (1992)"},{"key":"9748_CR6","doi-asserted-by":"publisher","unstructured":"Gabriel, P.: The universal cover of a representation-finite algebra. Proc. Puebla, Springer Lect. Notes 903, 68\u2013105 (1981). https:\/\/doi.org\/10.1007\/BFb0092986","DOI":"10.1007\/BFb0092986"},{"key":"9748_CR7","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1016\/0021-8693(85)90069-9","volume":"97","author":"WH Gustafson","year":"1985","unstructured":"Gustafson, W.H.: Global dimension in serial rings. J. Algebra 97, 14\u201316 (1985). https:\/\/doi.org\/10.1016\/0021-8693(85)90069-9","journal-title":"J. Algebra"},{"key":"9748_CR8","doi-asserted-by":"publisher","unstructured":"Hanson, E.J., Rock, J.D.: Composition series of arbitrary cardinality in abelian categories. Adv. Math. 433, 109292 (2023). https:\/\/doi.org\/10.1016\/j.aim.2023.109292","DOI":"10.1016\/j.aim.2023.109292"},{"key":"9748_CR9","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498824500543","author":"EJ Hanson","year":"2022","unstructured":"Hanson, E.J., Rock, J.D.: Decomposition of finite-dimensional $${\\mathbb{S} }^1$$ persistent modules. J. Algebra its Appl. (2022). https:\/\/doi.org\/10.1142\/S0219498824500543","journal-title":"J. Algebra its Appl."},{"key":"9748_CR10","unstructured":"Hatcher, A.: Algebraic Topology, p. 544. Cambridge University Press, Cambridge (2002). available online: https:\/\/pi.math.cornell.edu\/\u00a0hatcher\/AT\/ATpage.html"},{"key":"9748_CR11","doi-asserted-by":"publisher","unstructured":"A.Katok, B.Hasselblatt: Introduction to the Modern Theory of Dynamical Systems, p. 824. Cambridge University Press, Cambridge (1995). https:\/\/doi.org\/10.1017\/CBO9780511809187","DOI":"10.1017\/CBO9780511809187"},{"key":"9748_CR12","doi-asserted-by":"publisher","unstructured":"Krause, H.: Homological Theory of Representations, p. 481. Cambridge Studies in Advanced Mathematics, 195, Cambridge University Press, Cambridge (2021). https:\/\/doi.org\/10.1017\/9781108979108","DOI":"10.1017\/9781108979108"},{"issue":"10","key":"9748_CR13","doi-asserted-by":"publisher","first-page":"4481","DOI":"10.1080\/00927872.2022.2063301","volume":"50","author":"R Marczinzik","year":"2022","unstructured":"Marczinzik, R., Sen, E.: A new characterization of quasi-hereditary Nakayama algebras and applications. Comm. in Algebra 50(10), 4481\u20134493 (2022). https:\/\/doi.org\/10.1080\/00927872.2022.2063301","journal-title":"Comm. in Algebra"},{"key":"9748_CR14","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1016\/j.jalgebra.2013.03.014","volume":"385","author":"CM Ringel","year":"2013","unstructured":"Ringel, C.M.: The Gorenstein projective modules for the Nakayama algebras i. J. Algebra 385, 241\u2013261 (2013). https:\/\/doi.org\/10.1016\/j.jalgebra.2013.03.014","journal-title":"J. Algebra"},{"key":"9748_CR15","doi-asserted-by":"publisher","first-page":"95","DOI":"10.1016\/j.jalgebra.2021.01.040","volume":"576","author":"CM Ringel","year":"2021","unstructured":"Ringel, C.M.: The finitistic dimension of a Nakayama algebra. J. Algebra 576, 95\u2013145 (2021). https:\/\/doi.org\/10.1016\/j.jalgebra.2021.01.040","journal-title":"J. Algebra"},{"key":"9748_CR16","volume-title":"Principles of Mathematical Analysis","author":"W Rudin","year":"1964","unstructured":"Rudin, W.: Principles of Mathematical Analysis. McGraw-Hill, New York (1964)"},{"key":"9748_CR17","doi-asserted-by":"publisher","unstructured":"Sen, E.: Nakayama algebras which are higher Auslander algebras. arXiv preprint arXiv:2009.03383 [math.RT] (2022). doi: https:\/\/doi.org\/10.48550\/arXiv.2009.03383","DOI":"10.48550\/arXiv.2009.03383"},{"key":"9748_CR18","doi-asserted-by":"publisher","unstructured":"Sen, E.: Syzygy filtrations of cyclic Nakayama algebras. arXiv preprint arXiv:1903.04645v2 [math.RT] (2019). https:\/\/doi.org\/10.48550\/arXiv.1903.0464","DOI":"10.48550\/arXiv.1903.0464"},{"issue":"1","key":"9748_CR19","doi-asserted-by":"publisher","first-page":"7","DOI":"10.5209\/rev_REMA.2006.v19.n1.16621","volume":"19","author":"M Viana","year":"2006","unstructured":"Viana, M.: Ergodic theory of interval exchange maps. Rev. Math. Complut. 19(1), 7\u2013100 (2006). https:\/\/doi.org\/10.5209\/rev_REMA.2006.v19.n1.16621","journal-title":"Rev. Math. Complut."}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-023-09748-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10485-023-09748-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10485-023-09748-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,20]],"date-time":"2023-10-20T10:16:41Z","timestamp":1697797001000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10485-023-09748-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10]]},"references-count":19,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2023,10]]}},"alternative-id":["9748"],"URL":"https:\/\/doi.org\/10.1007\/s10485-023-09748-7","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"value":"0927-2852","type":"print"},{"value":"1572-9095","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10]]},"assertion":[{"value":"6 November 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 October 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no competing interests to declare that are relevant to the content of this article.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"44"}}