{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T05:53:15Z","timestamp":1769579595342,"version":"3.49.0"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2014,3]]},"abstract":"<jats:p> In this paper, we study the structure of some Noetherian modules over group rings and deduce some statements regarding the structure of the groups involved. More precisely, we consider a module A over a group ring RG with the following property: A is a Noetherian RH-module for every subgroup H, which is not contained in the centralizer C<jats:sub>G<\/jats:sub>(A). If G is some generalized soluble group and R is a locally finite field or some Dedekind domain, we describe the structure of G\/C<jats:sub>G<\/jats:sub>(A). <\/jats:p>","DOI":"10.1142\/s0218196714500131","type":"journal-article","created":{"date-parts":[[2014,3,18]],"date-time":"2014-03-18T05:01:11Z","timestamp":1395118871000},"page":"233-249","source":"Crossref","is-referenced-by-count":1,"title":["On the structure of some Noetherian modules over group rings"],"prefix":"10.1142","volume":"24","author":[{"given":"Leonid A.","family":"Kurdachenko","sequence":"first","affiliation":[{"name":"Department of Algebra, National University of Dnepropetrovsk, 72 Gagarin Av., Dnepropetrvsk, 49010 Ukraine"}]},{"given":"Javier","family":"Otal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain"}]},{"given":"Igor","family":"Ya. Subbotin","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, LA, CA 90045, USA"}]}],"member":"219","published-online":{"date-parts":[[2014,4,10]]},"reference":[{"key":"rf1","first-page":"467","volume":"32","author":"Brookes C. J. B.","journal-title":"J. London Math. Soc."},{"key":"rf2","first-page":"7","volume":"16","author":"Brookes C. J. B.","journal-title":"Bull. London Math. Soc."},{"key":"rf3","first-page":"295","volume":"6","author":"Charin C. S.","journal-title":"Ukrain. Math. J."},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/s11587-007-0004-7"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/9789812778291"},{"key":"rf6","volume-title":"Artinian Modules Over Group Rings","author":"Kurdachenko L. A.","year":"2007"},{"key":"rf7","series-title":"Institute of Mathematics Kiev","volume-title":"Insight into modules over Dedekind domains","author":"Kurdachenko L. A.","year":"2008"},{"key":"rf8","first-page":"773","volume":"26","author":"Kurdachenko L. A.","journal-title":"Southeast Asian Bull. Math."},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498804000812"},{"key":"rf10","volume-title":"The Theory of Groups","author":"Kurosh A. G.","year":"1967"},{"key":"rf11","first-page":"567","volume":"28","author":"Maltsev A. I.","journal-title":"Mat. Sb."},{"key":"rf12","first-page":"295","volume":"24","author":"May W.","journal-title":"Proc. London Math. Soc."},{"key":"rf13","volume-title":"The Algebraic Structure of Group Rings","author":"Passman D. S.","year":"1977"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(73)90034-0"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-87081-1"},{"key":"rf16","unstructured":"D. I.\u00a0Zaitsev, The groups with the restrictions for subgroups (Naukova Dumka, Kiev, 1971)\u00a0pp. 115\u2013130."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196714500131","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T09:32:52Z","timestamp":1565083972000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196714500131"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,3]]},"references-count":16,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2014,4,10]]},"published-print":{"date-parts":[[2014,3]]}},"alternative-id":["10.1142\/S0218196714500131"],"URL":"https:\/\/doi.org\/10.1142\/s0218196714500131","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,3]]}}}