{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T11:12:05Z","timestamp":1648811525903},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[1992,3]]},"abstract":"<jats:p> Let K be a commutative noetherian ring. It is proved that a representation of a finite group on a K-module of finite length or on a K-module of finite exponent has a finite basis for its identities. In particular, this implies an earlier result of Nguyen Hung Shon and the author stating that every representation of a finite group over a field is finitely based. The problem whether every representation of a finite group over a commutative noetherian ring is finitely based still remains open. <\/jats:p>","DOI":"10.1142\/s0218196792000086","type":"journal-article","created":{"date-parts":[[2004,11,24]],"date-time":"2004-11-24T19:50:24Z","timestamp":1101325824000},"page":"103-116","source":"Crossref","is-referenced-by-count":0,"title":["ON THE IDENTITIES OF REPRESENTATIONS OF FINITE GROUPS OVER COMMUTATIVE RINGS"],"prefix":"10.1142","volume":"02","author":[{"given":"SAMUEL M.","family":"VOVSI","sequence":"first","affiliation":[{"name":"Department of Mathematics, Rutgers University, New Brunswick, NJ 08903, USA"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196792000086","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:58:22Z","timestamp":1565114302000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196792000086"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,3]]},"references-count":0,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1992,3]]}},"alternative-id":["10.1142\/S0218196792000086"],"URL":"https:\/\/doi.org\/10.1142\/s0218196792000086","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,3]]}}}