{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,20]],"date-time":"2025-05-20T09:35:39Z","timestamp":1747733739562},"reference-count":6,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"name":"Korea government","award":["NRF-2019R1F1A1057940"],"award-info":[{"award-number":["NRF-2019R1F1A1057940"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2022,3]]},"abstract":"<jats:p> In this paper, we study the annihilating properties of ideals generated by coefficients of polynomials and power series which satisfy a structural equation. We first show that if [Formula: see text] for polynomials [Formula: see text] over any ring [Formula: see text], then for any [Formula: see text], there exist positive integers [Formula: see text] and [Formula: see text] such that [Formula: see text] and [Formula: see text], whenever [Formula: see text] and [Formula: see text]. Next we prove that if [Formula: see text] for power series [Formula: see text] over any ring [Formula: see text], then for any [Formula: see text], there exist positive integers [Formula: see text] and [Formula: see text] such that [Formula: see text] when [Formula: see text] and [Formula: see text], [Formula: see text] for each [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218196722500114","type":"journal-article","created":{"date-parts":[[2022,2,8]],"date-time":"2022-02-08T07:16:51Z","timestamp":1644304611000},"page":"237-249","source":"Crossref","is-referenced-by-count":1,"title":["Annihilating properties of ideals generated by coefficients of polynomials and power series"],"prefix":"10.1142","volume":"32","author":[{"given":"Nam Kyun","family":"Kim","sequence":"first","affiliation":[{"name":"School of Basic Sciences, Hanbat National University, Daejeon 34158, Korea"}]},{"given":"Yang","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yanbian University, Yanji 133002, China"},{"name":"Institute of Basic Science, Daejin University, Pocheon 11159, Korea"}]},{"given":"Micha\u0142","family":"Ziembowski","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Information Science, Warsaw University of Technology, 00-662 Warsaw, Poland"}]}],"member":"219","published-online":{"date-parts":[[2022,2,7]]},"reference":[{"key":"S0218196722500114BIB001","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-10-10252-4"},{"key":"S0218196722500114BIB002","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1971-0271100-6"},{"key":"S0218196722500114BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-4049(01)00053-6"},{"key":"S0218196722500114BIB004","doi-asserted-by":"publisher","DOI":"10.1081\/AGB-120013179"},{"key":"S0218196722500114BIB005","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1080\/00029890.1957.11989117","volume":"64","author":"McCoy N. H.","year":"1957","journal-title":"Am. Math. Mon."},{"key":"S0218196722500114BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2005.10.008"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196722500114","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,15]],"date-time":"2022-03-15T06:05:31Z","timestamp":1647324331000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196722500114"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,2,7]]},"references-count":6,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2022,3]]}},"alternative-id":["10.1142\/S0218196722500114"],"URL":"https:\/\/doi.org\/10.1142\/s0218196722500114","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,2,7]]}}}