{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:17:16Z","timestamp":1750306636522,"version":"3.41.0"},"reference-count":6,"publisher":"Association for Computing Machinery (ACM)","issue":"3\/4","license":[{"start":{"date-parts":[[2014,1,28]],"date-time":"2014-01-28T00:00:00Z","timestamp":1390867200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2014,1,28]]},"abstract":"<jats:p>The integro-differential Weyl algebra provides an algebraic model for differential and integral operators with polynomial coefficients. It has a natural action on the ring of polynomials. We are interested in computing the annihilator of a given polynomial with respect to this action. This contribution contains a first step towards that goal---namely we give a description of the annihilator of a monomial.<\/jats:p>","DOI":"10.1145\/2576802.2576821","type":"journal-article","created":{"date-parts":[[2014,2,4]],"date-time":"2014-02-04T14:16:21Z","timestamp":1391523381000},"page":"116-117","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Annihilating monomials with the integro-differential Weyl algebra"],"prefix":"10.1145","volume":"47","author":[{"given":"Johannes","family":"Middeke","sequence":"first","affiliation":[{"name":"University of Western Ontario, London (ON), Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2014,1,28]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/1576702.1576742"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2004.09.004"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2007.11.007"},{"key":"e_1_2_1_4_1","first-page":"123","volume":"188","author":"Regensburger G.","year":"2009","journal-title":"Applicata"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/jdq081"},{"journal-title":"Journal of Symbolic Computation 495--529 (","year":"2013","author":"Bavula V. V.","key":"e_1_2_1_6_1"}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2576802.2576821","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2576802.2576821","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T06:55:54Z","timestamp":1750229754000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2576802.2576821"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1,28]]},"references-count":6,"journal-issue":{"issue":"3\/4","published-print":{"date-parts":[[2014,1,28]]}},"alternative-id":["10.1145\/2576802.2576821"],"URL":"https:\/\/doi.org\/10.1145\/2576802.2576821","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2014,1,28]]},"assertion":[{"value":"2014-01-28","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}