{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T12:56:34Z","timestamp":1772369794614,"version":"3.50.1"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"7-8","license":[{"start":{"date-parts":[[2019,2,9]],"date-time":"2019-02-09T00:00:00Z","timestamp":1549670400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001736","name":"German-Israeli Foundation for Scientific Research and Development","doi-asserted-by":"crossref","award":["2165\/2011"],"award-info":[{"award-number":["2165\/2011"]}],"id":[{"id":"10.13039\/501100001736","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003977","name":"Israel Science Foundation","doi-asserted-by":"publisher","award":["181\/16"],"award-info":[{"award-number":["181\/16"]}],"id":[{"id":"10.13039\/501100003977","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001658","name":"Minerva Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001658","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Arch. Math. Logic"],"published-print":{"date-parts":[[2019,11]]},"DOI":"10.1007\/s00153-019-00661-2","type":"journal-article","created":{"date-parts":[[2019,2,9]],"date-time":"2019-02-09T00:34:03Z","timestamp":1549672443000},"page":"819-839","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Definable valuations induced by multiplicative subgroups and NIP fields"],"prefix":"10.1007","volume":"58","author":[{"given":"Katharina","family":"Dupont","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4363-1211","authenticated-orcid":false,"given":"Assaf","family":"Hasson","sequence":"additional","affiliation":[]},{"given":"Salma","family":"Kuhlmann","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,2,9]]},"reference":[{"issue":"2","key":"661_CR1","doi-asserted-by":"publisher","first-page":"410","DOI":"10.1215\/ijm\/1255985223","volume":"43","author":"L B\u00e9lair","year":"1999","unstructured":"B\u00e9lair, L.: Types dans les corps valu\u00e9s munis d\u2019applications coefficients. Illinois J. Math. 43(2), 410\u2013425 (1999)","journal-title":"Illinois J. Math."},{"issue":"3","key":"661_CR2","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1016\/0003-4843(80)90006-6","volume":"18","author":"G Cherlin","year":"1980","unstructured":"Cherlin, G., Shelah, S.: Superstable fields and groups. Ann. Math. Logic 18(3), 227\u2013270 (1980)","journal-title":"Ann. Math. Logic"},{"issue":"2","key":"661_CR3","doi-asserted-by":"publisher","first-page":"695","DOI":"10.1016\/j.apal.2013.10.002","volume":"165","author":"A Chernikov","year":"2014","unstructured":"Chernikov, A.: Theories without the tree property of the second kind. Ann. Pure Appl. Logic 165(2), 695\u2013723 (2014)","journal-title":"Ann. Pure Appl. Logic"},{"key":"661_CR4","unstructured":"Delon, F.: Types sur \n                    \n                      \n                    \n                    $${\\bf C}((X))$$\n                    \n                      \n                        \n                          C\n                          (\n                          (\n                          X\n                          )\n                          )\n                        \n                      \n                    \n                  . In: Study Group on Stable Theories (Bruno Poizat), Second year: 1978\/79 (French), pages Exp. No. 5, 29. Secr\u00e9tariat Math., Paris (1981)"},{"key":"661_CR5","doi-asserted-by":"crossref","unstructured":"Dupont, K.: Definable Valuations Induced by Definable Subgroups. Groups, Modules and Model Theory - Surveys and Recent Developments in Memory of R\u00fcdiger G\u00f6bel, 83\u2013109 Springer, Berlin (2017)","DOI":"10.1007\/978-3-319-51718-6_5"},{"issue":"1","key":"661_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.apal.2007.09.004","volume":"151","author":"C Ealy","year":"2008","unstructured":"Ealy, C., Krupi\u0144ski, K., Pillay, A.: Superrosy dependent groups having finitely satisfiable generics. Ann. Pure Appl. Log. 151(1), 1\u201321 (2008)","journal-title":"Ann. Pure Appl. Log."},{"key":"661_CR7","doi-asserted-by":"crossref","unstructured":"Efrat, I.: Valuations, orderings, and Milnor \n                    \n                      \n                    \n                    $$K$$\n                    \n                      \n                        K\n                      \n                    \n                  -theory. Mathematical Surveys and Monographs, vol. 124. American Mathematical Society, Providence (2006)","DOI":"10.1090\/surv\/124"},{"key":"661_CR8","series-title":"Springer Monographs in Mathematics","volume-title":"Valued Fields","author":"AJ Engler","year":"2005","unstructured":"Engler, A.J., Prestel, A.: Valued Fields. Springer Monographs in Mathematics. Springer, Berlin (2005)"},{"issue":"1","key":"661_CR9","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1090\/S0002-9947-1984-0742419-0","volume":"284","author":"Y Gurevich","year":"1984","unstructured":"Gurevich, Y., Schmitt, P.H.: The theory of ordered abelian groups does not have the independence property. Trans. Am. Math. Soc. 284(1), 171\u2013182 (1984)","journal-title":"Trans. Am. Math. Soc."},{"key":"661_CR10","unstructured":"Halevi, Y., Hasson, A.: Strongly dependent ordered abelian groups and henselian fields. Israel J. Math. (to appear), available at \n                    https:\/\/arxiv.org\/abs\/1706.03376\n                    \n                   (2017)"},{"key":"661_CR11","unstructured":"Halevi, Y., Hasson, A., Janhke, F.: A conjectural classification of strongly dependent fields. Bull. of Symb. Log. (to appear), available at \n                    https:\/\/arxiv.org\/pdf\/1805.03814.pdf\n                    \n                   (2018)"},{"key":"661_CR12","unstructured":"Halevi, Y., Hasson, A.: Eliminating field quantifiers in strongly dependent fields. In: Proceedings of AMS (to appear) Available at \n                    http:\/\/de.arxiv.org\/abs\/1707.03188\n                    \n                   (2017)"},{"issue":"1","key":"661_CR13","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1112\/blms\/bdt074","volume":"46","author":"J Hong","year":"2014","unstructured":"Hong, J.: Definable non-divisible Henselian valuations. Bull. Lond. Math. Soc. 46(1), 14\u201318 (2014)","journal-title":"Bull. Lond. Math. Soc."},{"issue":"2","key":"661_CR14","doi-asserted-by":"publisher","first-page":"563","DOI":"10.1090\/S0894-0347-07-00558-9","volume":"21","author":"E Hrushovski","year":"2008","unstructured":"Hrushovski, E., Peterzil, Y., Pillay, A.: Groups, measures, and the NIP. J. Am. Math. Soc. 21(2), 563\u2013596 (2008)","journal-title":"J. Am. Math. Soc."},{"issue":"1","key":"661_CR15","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1017\/jsl.2014.64","volume":"80","author":"F Jahnke","year":"2015","unstructured":"Jahnke, F., Koenigsmann, J.: Definable henselian valuations. J. Symb. Log. 80(1), 85\u201399 (2015)","journal-title":"J. Symb. Log."},{"issue":"7\u20138","key":"661_CR16","doi-asserted-by":"publisher","first-page":"741","DOI":"10.1016\/j.apal.2015.03.003","volume":"166","author":"F Jahnke","year":"2015","unstructured":"Jahnke, F., Koenigsmann, J.: Uniformly defining \n                    \n                      \n                    \n                    $$p$$\n                    \n                      \n                        p\n                      \n                    \n                  -henselian valuations. Ann. Pure Appl. Log. 166(7\u20138), 741\u2013754 (2015)","journal-title":"Ann. Pure Appl. Log."},{"key":"661_CR17","unstructured":"Jahnke, F., Simon, P.: NIP henselian valued fields. ArXiv e-prints (2016)"},{"key":"661_CR18","unstructured":"Jahnke, F., Simon, P., Walsberg, E.: Dp-Minimal Valued Fields. To appear in J. Symb. Log."},{"key":"661_CR19","doi-asserted-by":"crossref","unstructured":"Johnson, W.: The canonical topology on dp-minimal fields. J. Math. Log. 18(2), 1850007 (2018)","DOI":"10.1142\/S0219061318500071"},{"key":"661_CR20","unstructured":"Johnson, W.: On dp-minimal fields. \n                    arXiv:1507.02745\n                    \n                  , \n                    http:\/\/front.math.ucdavis.edu\/1507.02745\n                    \n                   (2015)"},{"key":"661_CR21","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1007\/s11856-011-0104-7","volume":"185","author":"I Kaplan","year":"2011","unstructured":"Kaplan, I., Scanlon, T., Wagner, F.O.: Artin-Schreier extensions in NIP and simple fields. Israel J. Math. 185, 141\u2013153 (2011)","journal-title":"Israel J. Math."},{"issue":"12","key":"661_CR22","doi-asserted-by":"publisher","first-page":"1322","DOI":"10.1016\/j.apal.2013.06.014","volume":"164","author":"I Kaplan","year":"2013","unstructured":"Kaplan, I., Shelah, S.: Chain conditions in dependent groups. Ann. Pure Appl. Log. 164(12), 1322\u20131337 (2013)","journal-title":"Ann. Pure Appl. Log."},{"issue":"1","key":"661_CR23","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/BF02570463","volume":"87","author":"J Koenigsmann","year":"1995","unstructured":"Koenigsmann, J.: \n                    \n                      \n                    \n                    $$p$$\n                    \n                      \n                        p\n                      \n                    \n                  -henselian fields. Manuscripta Math. 87(1), 89\u201399 (1995)","journal-title":"Manuscripta Math."},{"key":"661_CR24","unstructured":"Koenigsmann, J.: Definable valuations. Pr\u00e8publications de L\u2019Equipe de Logique, 54 (1995)"},{"key":"661_CR25","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1007\/s11856-010-0017-x","volume":"175","author":"K Krupi\u0144ski","year":"2010","unstructured":"Krupi\u0144ski, K.: Fields interpretable in rosy theories. Israel J. Math. 175, 421\u2013444 (2010)","journal-title":"Israel J. Math."},{"issue":"3","key":"661_CR26","doi-asserted-by":"publisher","first-page":"342","DOI":"10.1016\/j.apal.2014.11.006","volume":"166","author":"K Krupi\u0144ski","year":"2015","unstructured":"Krupi\u0144ski, K.: Superrosy fields and valuations. Ann. Pure Appl. Log. 166(3), 342\u2013357 (2015)","journal-title":"Ann. Pure Appl. Log."},{"issue":"4","key":"661_CR27","doi-asserted-by":"publisher","first-page":"473","DOI":"10.4310\/MRL.1998.v5.n4.a5","volume":"5","author":"A Pillay","year":"1998","unstructured":"Pillay, A., Scanlon, T., Wagner, F.O.: Supersimple fields and division rings. Math. Res. Lett. 5(4), 473\u2013483 (1998)","journal-title":"Math. Res. Lett."},{"issue":"2","key":"661_CR28","doi-asserted-by":"publisher","first-page":"528","DOI":"10.2307\/2275848","volume":"60","author":"A Pillay","year":"1995","unstructured":"Pillay, A., Poizat, B.: Corps et chirurgie. J. Symbol. Log. 60(2), 528\u2013533 (1995)","journal-title":"J. Symbol. Log."},{"key":"661_CR29","doi-asserted-by":"crossref","unstructured":"Poizat, B.: Stable groups, vol.\u00a087 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI 2001. Translated from the 1987 French original by Moses Gabriel Klein","DOI":"10.1090\/surv\/087"},{"issue":"2","key":"661_CR30","first-page":"265","volume":"59","author":"S Shelah","year":"2004","unstructured":"Shelah, S.: Classification theory for elementary classes with the dependence property\u2014a modest beginning. Sci. Math. Jpn. 59(2), 265\u2013316 (2004)","journal-title":"Sci. Math. Jpn."},{"issue":"1","key":"661_CR31","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11856-014-1111-2","volume":"204","author":"S Shelah","year":"2014","unstructured":"Shelah, S.: Strongly dependent theories. Israel J. Math. 204(1), 1\u201383 (2014)","journal-title":"Israel J. Math."},{"key":"661_CR32","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-3002-0","volume-title":"Simple Theories. Mathematics and its Applications","author":"FO Wagner","year":"2000","unstructured":"Wagner, F.O.: Simple Theories. Mathematics and its Applications, vol. 503. Kluwer, Dordrecht (2000)"}],"container-title":["Archive for Mathematical Logic"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00153-019-00661-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-019-00661-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00153-019-00661-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,8]],"date-time":"2020-02-08T19:21:05Z","timestamp":1581189665000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00153-019-00661-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,9]]},"references-count":32,"journal-issue":{"issue":"7-8","published-print":{"date-parts":[[2019,11]]}},"alternative-id":["661"],"URL":"https:\/\/doi.org\/10.1007\/s00153-019-00661-2","relation":{},"ISSN":["0933-5846","1432-0665"],"issn-type":[{"value":"0933-5846","type":"print"},{"value":"1432-0665","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,2,9]]},"assertion":[{"value":"1 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 January 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 February 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}