{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T02:04:33Z","timestamp":1760061873215},"reference-count":17,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[2001,10,1]],"date-time":"2001-10-01T00:00:00Z","timestamp":1001894400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":4307,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Linear Algebra and its Applications"],"published-print":{"date-parts":[[2001,10]]},"DOI":"10.1016\/s0024-3795(01)00322-6","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T10:04:42Z","timestamp":1027591482000},"page":"191-200","source":"Crossref","is-referenced-by-count":12,"title":["Computing the elasticity of a Krull monoid"],"prefix":"10.1016","volume":"336","author":[{"given":"S.T.","family":"Chapman","sequence":"first","affiliation":[]},{"given":"J.I.","family":"Garc\u0131\u0301a-Garc\u0131\u0301a","sequence":"additional","affiliation":[]},{"given":"P.A.","family":"Garc\u00eda-S\u00e1nchez","sequence":"additional","affiliation":[]},{"given":"J.C.","family":"Rosales","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0024-3795(01)00322-6_BIB1","unstructured":"D.D. Anderson (Ed.), Factorization in Integral Domains, Lecture Notes in Pure and Applied Mathematics, vol. 189, Marcel Dekker, New York, 1997"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB2","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/0022-4049(92)90144-5","article-title":"Elasticity of factorizations in integral domains","volume":"80","author":"Anderson","year":"1992","journal-title":"J. Pure Appl. Algebra"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB3","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1090\/S0002-9939-1993-1106176-1","article-title":"Rational elasticity of factorizations in Krull domains","volume":"117","author":"Anderson","year":"1993","journal-title":"Proc. Amer. Math. Soc."},{"key":"10.1016\/S0024-3795(01)00322-6_BIB4","doi-asserted-by":"crossref","unstructured":"D.F. Anderson, Elasticity of factorizations in integral domains: a survey, in: D.D. Anderson (Ed.), Factorization in Integral Domains, Lecture Notes in Pure and Applied Mathematics, vol. 189, Marcel Dekker, New York, 1997, pp. 1\u201330","DOI":"10.1201\/9780203756263-1"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB5","doi-asserted-by":"crossref","first-page":"2543","DOI":"10.1080\/00927870008826977","article-title":"On the elasticities of Krull domains with finite cyclic divisor class group","volume":"28","author":"Anderson","year":"2000","journal-title":"Comm. Algebra"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB6","doi-asserted-by":"crossref","unstructured":"S.T. Chapman, A. Geroldinger, Krull monoids, their sets of lengths and associated combinatorial problems, in: D.D. Anderson (Ed.), Factorization in Integral Domains, Lecture Notes in Pure and Applied Mathematics, vol. 189, Marcel Dekker, Basel, 1997, pp. 73\u2013112","DOI":"10.1201\/9780203756263-3"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB7","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF02807251","article-title":"Factorization in Dedekind domains with finite class group","volume":"71","author":"Chapman","year":"1990","journal-title":"Israel J. Math."},{"key":"10.1016\/S0024-3795(01)00322-6_BIB8","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1006\/jabr.1993.1153","article-title":"An analysis using the Zaks-Skula constant of element factorizations in Dedekind domains","volume":"159","author":"Chapman","year":"1993","journal-title":"J. Algebra"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB9","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1006\/inco.1994.1067","article-title":"An efficient incremental algorithm for solving systems of linear Diophantine equations","volume":"113","author":"Contejean","year":"1994","journal-title":"Inform. and Comput."},{"key":"10.1016\/S0024-3795(01)00322-6_BIB10","first-page":"641","article-title":"Non-unique factorizations in block semigroups and arithmetical applications","volume":"42","author":"Geroldinger","year":"1992","journal-title":"Math. Slovaca"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB11","first-page":"27","article-title":"Halbgruppen mit Divisorentheorie","volume":"8","author":"HalterKoch","year":"1990","journal-title":"Expo. Math."},{"key":"10.1016\/S0024-3795(01)00322-6_BIB12","doi-asserted-by":"crossref","first-page":"367","DOI":"10.5802\/jtnb.147","article-title":"Elasticity of factorizations in atomic monoids and integral domains","volume":"7","author":"Halter-Koch","year":"1995","journal-title":"J. Th\u00e9orie des Nombres Bordeaux"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB13","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/0021-8693(86)90016-5","article-title":"Repartition des ideaux premiers parmi les classes de ideaux dans un anneau de Dedekind et equidecomposition","volume":"98","author":"Michel","year":"1986","journal-title":"J. Algebra"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB14","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/S0024-3795(98)10152-0","article-title":"On normal affine semigroups","volume":"286","author":"Rosales","year":"1999","journal-title":"Linear Algebra Appl."},{"key":"10.1016\/S0024-3795(01)00322-6_BIB15","series-title":"Finitely Generated Commutative Monoids","author":"Rosales","year":"1999"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB16","unstructured":"J.C. Rosales, P. Garc\u0131\u0301a-S\u00e1nchez, J.I. Garc\u0131\u0301a-Garc\u0131\u0301a, Atomic commutative monoids and their elasticity, preprint"},{"key":"10.1016\/S0024-3795(01)00322-6_BIB17","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1016\/0022-314X(90)90074-2","article-title":"Elasticity of factorizations in number fields","volume":"39","author":"Valenza","year":"1990","journal-title":"J. Number Theory"}],"container-title":["Linear Algebra and its Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0024379501003226?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0024379501003226?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,1,8]],"date-time":"2020-01-08T17:50:17Z","timestamp":1578505817000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0024379501003226"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,10]]},"references-count":17,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[2001,10]]}},"alternative-id":["S0024379501003226"],"URL":"https:\/\/doi.org\/10.1016\/s0024-3795(01)00322-6","relation":{},"ISSN":["0024-3795"],"issn-type":[{"value":"0024-3795","type":"print"}],"subject":[],"published":{"date-parts":[[2001,10]]}}}