{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T02:03:21Z","timestamp":1648605801748},"reference-count":9,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":7497,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1993,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We generalise various properties of quasiendomorphisms from groups with regular generic to small abelian groups. In particular, for a small stable abelian group such that no infinite definable quotient is connected-by-finite, the ring of quasi-endomorphisms is locally finite. Under some additional assumptions, it decomposes modulo some nil ideal into a sum of finitely many matrix rings.<\/jats:p>","DOI":"10.2307\/2275111","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T22:49:16Z","timestamp":1146955756000},"page":"1044-1051","source":"Crossref","is-referenced-by-count":1,"title":["Quasi-endomorphisms in small stable groups"],"prefix":"10.1017","volume":"58","author":[{"given":"Frank O.","family":"Wagner","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200021034_ref008","first-page":"1026","volume":"56","author":"Wagner","year":"1991","journal-title":"Small stable groups and generics"},{"key":"S0022481200021034_ref005","first-page":"250","volume":"56","author":"Loveys","year":"1991","journal-title":"Abelian groups with modular generic"},{"key":"S0022481200021034_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0082236"},{"key":"S0022481200021034_ref002","doi-asserted-by":"publisher","DOI":"10.1007\/BF01627503"},{"key":"S0022481200021034_ref001","unstructured":"Buechler S. , Vaught's conjecture for unidimensional theories, preprint."},{"key":"S0022481200021034_ref007","first-page":"385","volume":"58","author":"Poizat","year":"1993","journal-title":"Sous-Groupes p\u00e9riodiques d\u2019un groupe stable"},{"key":"S0022481200021034_ref006","unstructured":"Pillay A. , Certain locally modular regular superstable groups, preprint."},{"key":"S0022481200021034_ref009","doi-asserted-by":"publisher","DOI":"10.1305\/ndjfl\/1093636093"},{"key":"S0022481200021034_ref003","unstructured":"Hrushovski E. , Contributions to stable model theory, Ph.D. thesis, University of California, Berkeley, California, 1986."}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200021034","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,15]],"date-time":"2019-05-15T22:02:44Z","timestamp":1557957764000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200021034\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,9]]},"references-count":9,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1993,9]]}},"alternative-id":["S0022481200021034"],"URL":"https:\/\/doi.org\/10.2307\/2275111","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,9]]}}}