{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T09:45:43Z","timestamp":1648719943775},"reference-count":31,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2018,5]]},"abstract":"<jats:p> This paper, concerns a class of rings which satisfies the Abelian property in relation to the insertion property at zero by powers and local finite. The concepts of Insertion of-Power-Factors-Property (PFP) and principal finite are introduced for the purpose, and the structures of IPFP, Abelian and locally (principally) finite rings are investigated in relation with several situations of matrix rings and polynomial rings. Moreover, the results obtained here are widely applied to various sorts of rings which have roles in the noncommutative ring theory. <\/jats:p>","DOI":"10.1142\/s0218196718500236","type":"journal-article","created":{"date-parts":[[2018,3,19]],"date-time":"2018-03-19T08:46:12Z","timestamp":1521449172000},"page":"501-519","source":"Crossref","is-referenced-by-count":0,"title":["Structure of insertion property by powers"],"prefix":"10.1142","volume":"28","author":[{"given":"Jeoung Soo","family":"Cheon","sequence":"first","affiliation":[{"name":"Department of Mathematics, Pusan National University, Busan 46241, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hai-Lan","family":"Jin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yanbian University, Yanji 133002, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Da Woon","family":"Jung","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pusan National University, Busan 46241, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hong Kee","family":"Kim","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Gyeongsang National University, Jinju 52828, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yang","family":"Lee","sequence":"additional","affiliation":[{"name":"Institute of Basic Science, Daejin University, Pocheon 11159, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sangwon","family":"Park","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Dong-A University, Pusan 49315, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sung Ju","family":"Ryu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pusan National University, Busan 46241, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yeonsook","family":"Seo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pusan National University, Busan 46241, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2018,6,28]]},"reference":[{"key":"S0218196718500236BIB001","doi-asserted-by":"publisher","DOI":"10.1080\/00927879908826596"},{"key":"S0218196718500236BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2008.01.019"},{"key":"S0218196718500236BIB003","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700029190"},{"key":"S0218196718500236BIB004","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972700042052"},{"key":"S0218196718500236BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-0359-6_7"},{"key":"S0218196718500236BIB006","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1994-1231028-7"},{"key":"S0218196718500236BIB007","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2012.705402"},{"key":"S0218196718500236BIB008","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1932-05333-2"},{"key":"S0218196718500236BIB010","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-80634-6","volume-title":"Algebra I: Rings, Modules, and Categories","author":"Faith C.","year":"1973"},{"key":"S0218196718500236BIB011","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1958-0098763-0"},{"key":"S0218196718500236BIB012","first-page":"273","volume":"28","author":"Golod E. S.","year":"1964","journal-title":"Izv. Akad. Nauk SSSR Ser. Mat."},{"key":"S0218196718500236BIB013","first-page":"261","volume":"28","author":"Golod E. S.","year":"1964","journal-title":"Izv. Akad. Nauk SSSR Ser. Mat."},{"key":"S0218196718500236BIB014","volume-title":"Von Neumann Regular Rings","author":"Goodearl K. R.","year":"1979"},{"key":"S0218196718500236BIB015","volume-title":"An Introduction to Noncommutative Noetherian Rings","author":"Goodearl K. R.","year":"1989"},{"key":"S0218196718500236BIB016","volume-title":"Topics in Ring Theory","author":"Herstein I.","year":"1969"},{"key":"S0218196718500236BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4049(01)00149-9"},{"key":"S0218196718500236BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2003.10.032"},{"key":"S0218196718500236BIB019","doi-asserted-by":"publisher","DOI":"10.1081\/AGB-120013179"},{"key":"S0218196718500236BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2006.02.032"},{"key":"S0218196718500236BIB021","doi-asserted-by":"publisher","DOI":"10.4134\/BKMS.2009.46.1.135"},{"key":"S0218196718500236BIB022","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1999.8017"},{"key":"S0218196718500236BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4049(03)00109-9"},{"key":"S0218196718500236BIB024","doi-asserted-by":"publisher","DOI":"10.4134\/JKMS.2014.51.4.751"},{"key":"S0218196718500236BIB025","volume-title":"Lectures on Rings and Modules","author":"Lambek J.","year":"1966"},{"key":"S0218196718500236BIB026","doi-asserted-by":"publisher","DOI":"10.4153\/CMB-1971-065-1"},{"key":"S0218196718500236BIB027","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1939-06933-4"},{"key":"S0218196718500236BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2005.10.008"},{"key":"S0218196718500236BIB029","doi-asserted-by":"publisher","DOI":"10.3792\/pjaa.73.14"},{"key":"S0218196718500236BIB030","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1973-0338058-9"},{"key":"S0218196718500236BIB031","doi-asserted-by":"publisher","DOI":"10.1080\/00927879208824488"},{"key":"S0218196718500236BIB032","first-page":"69","volume":"40","author":"Xu L.","year":"1998","journal-title":"Math. J. Okayama Univ."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196718500236","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T19:46:41Z","timestamp":1565120801000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196718500236"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5]]},"references-count":31,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2018,6,28]]},"published-print":{"date-parts":[[2018,5]]}},"alternative-id":["10.1142\/S0218196718500236"],"URL":"https:\/\/doi.org\/10.1142\/s0218196718500236","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,5]]}}}