{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T10:41:33Z","timestamp":1758278493996},"reference-count":25,"publisher":"Elsevier BV","issue":"1-3","license":[{"start":{"date-parts":[[1996,10,1]],"date-time":"1996-10-01T00:00:00Z","timestamp":844128000000},"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":6133,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1996,10]]},"DOI":"10.1016\/s0012-365x(96)83021-4","type":"journal-article","created":{"date-parts":[[2002,10,10]],"date-time":"2002-10-10T22:04:08Z","timestamp":1034287448000},"page":"311-320","source":"Crossref","is-referenced-by-count":8,"title":["Some results on Betti numbers of Stanley-Reisner rings"],"prefix":"10.1016","volume":"157","author":[{"given":"Naoki","family":"Terai","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Takayuki","family":"Hibi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0012-365X(96)83021-4_BIB1","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/S0195-6698(82)80014-0","article-title":"Cohen-Macaulay connectivity and geometric lattices","volume":"3","author":"Baclawski","year":"1982","journal-title":"European J. Combin."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB2","doi-asserted-by":"crossref","first-page":"159","DOI":"10.2307\/1999881","article-title":"Shellable and Cohen-Macaulay partially ordered sets","volume":"260","author":"Bj\u00f6rner","year":"1980","journal-title":"Trans. Amer. Math. Soc."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB3","author":"Br\u00f8ndsted","year":"1982"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB4","doi-asserted-by":"crossref","first-page":"197","DOI":"10.7146\/math.scand.a-11045","article-title":"Shellable decompositions of cells and spheres","volume":"29","author":"Bruggesser","year":"1971","journal-title":"Math. Scand."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB5","author":"Bruns","year":"1993"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB6","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1017\/S030500410007362X","article-title":"On multigraded resolutions","volume":"118","author":"Bruns","year":"1995","journal-title":"Math. Proc. Camb. Phil. Soc."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB7","unstructured":"W. Bruns and T. Hibi, Cohen-Macaulay partially ordered sets with pure resolutions, preprint."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB8","doi-asserted-by":"crossref","first-page":"1201","DOI":"10.1080\/00927879508825274","article-title":"Stanley-Reisner rings with pure resolutions","volume":"23","author":"Bruns","year":"1995","journal-title":"Comm. Algebra"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB9","first-page":"57","article-title":"On Stanley-Reisner rings","volume":"26","author":"Fr\u00f6berg","year":"1990"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0001-8708(92)90032-G","article-title":"Resolutions of determinantal ideals","volume":"94","author":"Hashimoto","year":"1992","journal-title":"Adv. Math."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB11","author":"Hibi","year":"1992"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB12","doi-asserted-by":"crossref","first-page":"780","DOI":"10.1006\/jabr.1994.1253","article-title":"Cohen-Macaulay types of Cohen-Macaulay complexes","volume":"168","author":"Hibi","year":"1994","journal-title":"J. Algebra"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB13","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1006\/aima.1994.1051","article-title":"Canonical modules and Cohen-Macaulay types of partially ordered sets","volume":"106","author":"Hibi","year":"1994","journal-title":"Adv. Math."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB14","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1006\/jabr.1996.0006","article-title":"Buchsbaum complexes with linear resolutions","volume":"179","author":"Hibi","year":"1996","journal-title":"J. Algebra"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB15","first-page":"171","article-title":"Cohen-Macaulay rings, combinatorics, and simplicial complexes","author":"Hochster","year":"1977"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB16","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1307\/mmj\/1029002969","article-title":"Topological results in combinatorics","volume":"31","author":"Munkres","year":"1984","journal-title":"Michigan Math. J."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB17","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/0001-8708(76)90114-6","article-title":"Cohen-Macaulay quotients of polynomial rings","volume":"21","author":"Reisner","year":"1976","journal-title":"Adv. Math."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB18","author":"Stanley","year":"1983"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB19","volume":"I","author":"Stanley","year":"1986"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB20","article-title":"Ideals generated by monomials in an R-sequence","author":"Taylor","year":"1960"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB21","doi-asserted-by":"crossref","unstructured":"N. Terai and T. Hibi, Alexander duality theorem and second Betti numbers of Stanley-Reisner rings, Adv. Math., to appear.","DOI":"10.1006\/aima.1996.0086"},{"key":"10.1016\/S0012-365X(96)83021-4_BIB22","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1007\/BF02711496","article-title":"Computation of Betti numbers of monomial ideals associated with cyclic polytopes","volume":"15","author":"Terai","year":"1996","journal-title":"Discrete Comput. Geom."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB23","unstructured":"N. Terai and T. Hibi, Computation of Betti numbers of monomial ideals associated with stacked polytopes, preprint."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB24","unstructured":"N. Terai and T. Hibi, Finite free resolutions and 1-skeletons of simplicial (d \u2212 1)-spheres, J. Algebraic Combin., to appear."},{"key":"10.1016\/S0012-365X(96)83021-4_BIB25","unstructured":"N. Terai and T. Hibi, Monomial ideals and minimal non-faces of Cohen-Macaulay complexes, preprint."}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X96830214?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0012365X96830214?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T21:22:47Z","timestamp":1555190567000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0012365X96830214"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,10]]},"references-count":25,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1996,10]]}},"alternative-id":["S0012365X96830214"],"URL":"https:\/\/doi.org\/10.1016\/s0012-365x(96)83021-4","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1996,10]]}}}