{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T11:43:42Z","timestamp":1777376622612,"version":"3.51.4"},"reference-count":16,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1979,2,1]],"date-time":"1979-02-01T00:00:00Z","timestamp":286675200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[1979,2,1]],"date-time":"1979-02-01T00:00:00Z","timestamp":286675200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":12585,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"funder":[{"DOI":"10.13039\/100000181","name":"Air Force Office of Scientific Research","doi-asserted-by":"publisher","award":["72-2268"],"award-info":[{"award-number":["72-2268"]}],"id":[{"id":"10.13039\/100000181","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006751","name":"U.S. Army","doi-asserted-by":"publisher","award":["DAH CO4-74-G-0153"],"award-info":[{"award-number":["DAH CO4-74-G-0153"]}],"id":[{"id":"10.13039\/100006751","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006831","name":"U.S. Air Force","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100006831","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Computer and System Sciences"],"published-print":{"date-parts":[[1979,2]]},"DOI":"10.1016\/0022-0000(79)90052-7","type":"journal-article","created":{"date-parts":[[2003,12,5]],"date-time":"2003-12-05T06:41:56Z","timestamp":1070606516000},"page":"65-75","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":29,"title":["On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains"],"prefix":"10.1016","volume":"18","author":[{"given":"Yves","family":"Rouchaleau","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eduardo D.","family":"Sontag","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0022-0000(79)90052-7_BIB1","series-title":"Algebraic K-Theory","author":"Bass","year":"1968"},{"key":"10.1016\/0022-0000(79)90052-7_BIB2","series-title":"Alg\u00e8bre Commutative","author":"Bourbaki","year":"1965"},{"key":"10.1016\/0022-0000(79)90052-7_BIB3","volume":"Vol. A","author":"Eilenberg","year":"1974"},{"key":"10.1016\/0022-0000(79)90052-7_BIB4","series-title":"Rings, Modules, and Categories","author":"Faith","year":"1973"},{"key":"10.1016\/0022-0000(79)90052-7_BIB5","series-title":"Topics in Mathematical System Theory","author":"Kalman","year":"1969"},{"key":"10.1016\/0022-0000(79)90052-7_BIB6","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/BF01698126","article-title":"An algebraic theory of systems defined by convolution operators","volume":"9","author":"Kamen","year":"1975","journal-title":"J. Math. System Theory"},{"key":"10.1016\/0022-0000(79)90052-7_BIB7","series-title":"Fields and Rings","author":"Kaplanski","year":"1969"},{"key":"10.1016\/0022-0000(79)90052-7_BIB8","series-title":"Notes on Homological Algebra","author":"Rotman","year":"1970"},{"key":"10.1016\/0022-0000(79)90052-7_BIB9","article-title":"Linear, discrete-time, finite-dimensional, dynamical systems over some classes of commutative rings","author":"Rouchaleau","year":"1972"},{"key":"10.1016\/0022-0000(79)90052-7_BIB10","first-page":"2404","article-title":"Algebraic structure of linear dynamical systems. III. Realization theory over a commutative ring","volume":"69","author":"Rouchaleau","year":"1972"},{"key":"10.1016\/0022-0000(79)90052-7_BIB11","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/S0022-0000(74)80002-4","article-title":"Linear dynamical systems over integral domains","volume":"9","author":"Rouchaleau","year":"1974","journal-title":"J. Comput. System Sci."},{"key":"10.1016\/0022-0000(79)90052-7_BIB12","first-page":"1","article-title":"Linear systems over commutative rings: A survey","volume":"7","author":"Sontag","year":"1976","journal-title":"Ricerche Automatica"},{"key":"10.1016\/0022-0000(79)90052-7_BIB13","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/BF01768475","article-title":"The lattice of minimal realizations of response maps over rings","volume":"11","author":"Sontag","year":"1977","journal-title":"Math. Systems Theory"},{"key":"10.1016\/0022-0000(79)90052-7_BIB14","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/S0019-9958(78)90401-1","article-title":"On split realizations of response maps over rings","volume":"37","author":"Sontag","year":"1978","journal-title":"Inform. Contr."},{"key":"10.1016\/0022-0000(79)90052-7_BIB15","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1007\/BF01110912","article-title":"The number of generators of a module","volume":"102","author":"Swan","year":"1967","journal-title":"Math. Z."},{"key":"10.1016\/0022-0000(79)90052-7_BIB16","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/0021-8693(75)90097-6","article-title":"\u00c9l\u00e9ments quasi-entiers et extensions de Fatou","volume":"36","author":"Cahen","year":"1975","journal-title":"J. Algebra"}],"container-title":["Journal of Computer and System Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0022000079900527?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0022000079900527?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,9,5]],"date-time":"2025-09-05T18:11:19Z","timestamp":1757095879000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0022000079900527"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1979,2]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1979,2]]}},"alternative-id":["0022000079900527"],"URL":"https:\/\/doi.org\/10.1016\/0022-0000(79)90052-7","relation":{},"ISSN":["0022-0000"],"issn-type":[{"value":"0022-0000","type":"print"}],"subject":[],"published":{"date-parts":[[1979,2]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains","name":"articletitle","label":"Article Title"},{"value":"Journal of Computer and System Sciences","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/0022-0000(79)90052-7","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"converted-article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 1979 Published by Elsevier Inc.","name":"copyright","label":"Copyright"}]}}