{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T06:10:47Z","timestamp":1698559847487},"reference-count":5,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3603,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1997,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In [5] Phillips proved that one can obtain the additive group of any nonstandard model *\u2124 of the ring \u2124 of integers by using a linear mod 1 function <jats:italic>h : F<\/jats:italic> \u211a, where <jats:italic>F<\/jats:italic> is the \u03b1\u2010dimensional vector space over \u211a when \u03b1 is the cardinality of *\u2124. In this connection it arises the question whether there are linear mod 1 functions which are neither addition nor quasi\u2010linear. We prove that this is the case.<\/jats:p>","DOI":"10.1002\/malq.19970430110","type":"journal-article","created":{"date-parts":[[2007,5,30]],"date-time":"2007-05-30T15:24:39Z","timestamp":1180538679000},"page":"78-82","source":"Crossref","is-referenced-by-count":1,"title":["On a Question of Phillips"],"prefix":"10.1002","volume":"43","author":[{"given":"\u00c7i\u01e7dem","family":"Gencer","sequence":"first","affiliation":[]},{"given":"Mehmet","family":"Terziler","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Infinite Abelian Groups","author":"Fuchs L.","year":"1970"},{"key":"e_1_2_1_3_2","volume-title":"Homology","author":"MacLane S.","year":"1975"},{"key":"e_1_2_1_4_2","first-page":"259","volume-title":"Essays on the Foundations of Mathematics","author":"Mendelson E.","year":"1961"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/2274950"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.2307\/2272732"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19970430110","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19970430110","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,28]],"date-time":"2023-10-28T10:38:47Z","timestamp":1698489527000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19970430110"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1]]},"references-count":5,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1997,1]]}},"alternative-id":["10.1002\/malq.19970430110"],"URL":"https:\/\/doi.org\/10.1002\/malq.19970430110","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,1]]}}}