{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,7,18]],"date-time":"2023-07-18T04:12:40Z","timestamp":1689653560084},"reference-count":44,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2023,6]]},"abstract":"<jats:p> The goal of this paper is twofold: on the one hand, motivated by questions raised by Schenzel, we explore situations where the Hartshorne\u2013Lichtenbaum Vanishing theorem for local cohomology fails, leading us to simpler expressions of certain local cohomology modules. As application, we give new expressions of the endomorphism ring of these modules. On the other hand, building upon previous work by \u00c0lvarez Montaner, we exhibit the shape of Lyubeznik tables of the so-called partially sequentially Cohen\u2013Macaulay rings as introduced by Sbarra and Strazzanti. <\/jats:p>","DOI":"10.1142\/s0218196723500340","type":"journal-article","created":{"date-parts":[[2023,5,14]],"date-time":"2023-05-14T09:48:57Z","timestamp":1684057737000},"page":"769-786","source":"Crossref","is-referenced-by-count":0,"title":["Certain endomorphism rings of local cohomology modules and Lyubeznik numbers"],"prefix":"10.1142","volume":"33","author":[{"given":"Alberto F.","family":"Boix","sequence":"first","affiliation":[{"name":"IMUVA\u2013Mathematics Research Institute, Universidad de Valladolid, Paseo de Belen, s\/n, 47011, Valladolid, Spain"}]},{"given":"Majid","family":"Eghbali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Tafresh University, Tafresh 39518 79611, Iran"}]}],"member":"219","published-online":{"date-parts":[[2023,6,29]]},"reference":[{"key":"S0218196723500340BIB001","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/978-3-642-38742-5_5","volume-title":"Monomial Ideals, Computations and Applications. Based on Lectures of the Conference MONICA: Monomial Ideals, Computations and Applications, CIEM","author":"\u00c0lvarez Montaner J.","year":"2013"},{"issue":"9","key":"S0218196723500340BIB002","doi-asserted-by":"crossref","first-page":"3695","DOI":"10.1080\/00927872.2014.923894","volume":"43","author":"\u00c0lvarez Montaner J.","year":"2015","journal-title":"Comm. Algebra"},{"issue":"3","key":"S0218196723500340BIB003","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1007\/s00013-014-0629-1","volume":"102","author":"Atazadeh A.","year":"2014","journal-title":"Arch. Math. (Basel)"},{"issue":"1","key":"S0218196723500340BIB004","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1016\/j.jalgebra.2006.06.029","volume":"308","author":"Blickle M.","year":"2007","journal-title":"J. Algebra"},{"issue":"4","key":"S0218196723500340BIB005","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1007\/s13366-018-0396-4","volume":"59","author":"Boix A. F.","year":"2018","journal-title":"Beit. Algebra Geom."},{"issue":"4","key":"S0218196723500340BIB006","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1007\/s13366-018-0400-z","volume":"59","author":"Boix A. F.","year":"2018","journal-title":"Beit. Algebra Geom."},{"key":"S0218196723500340BIB007","series-title":"Cambridge Studies in Advanced Mathematics","volume-title":"Local cohomology: An Algebraic Introduction with Geometric Applications","volume":"136","author":"Brodmann M. P.","year":"2013","edition":"2"},{"issue":"2","key":"S0218196723500340BIB008","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/0022-4049(86)90089-7","volume":"43","author":"Call F. W.","year":"1986","journal-title":"J. Pure Appl. Algebra"},{"key":"S0218196723500340BIB009","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1112\/blms\/18.2.216","volume":"18","author":"Call F. W.","year":"1986","journal-title":"Bull. Lond. Math. Soc."},{"issue":"3","key":"S0218196723500340BIB010","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/s40687-022-00332-4","volume":"9","author":"Caviglia G.","year":"2022","journal-title":"Res. Math. Sci."},{"issue":"4","key":"S0218196723500340BIB011","doi-asserted-by":"crossref","first-page":"876","DOI":"10.1112\/S0010437X15007678","volume":"152","author":"Dao H.","year":"2016","journal-title":"Compos. Math."},{"issue":"12","key":"S0218196723500340BIB013","doi-asserted-by":"crossref","first-page":"3537","DOI":"10.1090\/S0002-9939-02-06500-0","volume":"130","author":"Divaani-Aazar K.","year":"2002","journal-title":"Proc. Amer. Math. Soc."},{"issue":"11","key":"S0218196723500340BIB014","doi-asserted-by":"crossref","first-page":"4295","DOI":"10.1080\/00927872.2011.588982","volume":"40","author":"Eghbali M.","year":"2012","journal-title":"Comm. Algebra"},{"issue":"6","key":"S0218196723500340BIB015","doi-asserted-by":"crossref","first-page":"1843","DOI":"10.1216\/RMJ-2019-49-6-1843","volume":"49","author":"Erdo\u011fdu V.","year":"2019","journal-title":"Rocky Mountain J. Math."},{"issue":"2","key":"S0218196723500340BIB016","doi-asserted-by":"crossref","first-page":"403","DOI":"10.2307\/1970720","volume":"88","author":"Hartshorne R.","year":"1968","journal-title":"Ann. Math."},{"issue":"7","key":"S0218196723500340BIB017","doi-asserted-by":"crossref","first-page":"2333","DOI":"10.1090\/S0002-9939-08-09240-X","volume":"136","author":"Hellus M.","year":"2008","journal-title":"Proc. Amer. Math. Soc."},{"key":"S0218196723500340BIB018","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1016\/j.jalgebra.2018.07.019","volume":"514","author":"Hern\u00e1ndez D. J.","year":"2018","journal-title":"J. Algebra"},{"issue":"6","key":"S0218196723500340BIB019","doi-asserted-by":"crossref","first-page":"1755","DOI":"10.4310\/MRL.2020.v27.n6.a7","volume":"27","author":"Hochster M.","year":"2020","journal-title":"Math. Res. Lett."},{"issue":"4","key":"S0218196723500340BIB020","doi-asserted-by":"crossref","first-page":"1139","DOI":"10.1512\/iumj.2014.63.5313","volume":"63","author":"Horiuchi J.","year":"2014","journal-title":"Indiana Univ. Math. J."},{"key":"S0218196723500340BIB021","series-title":"Contemporary Mathematics","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1090\/conm\/436\/08404","volume-title":"Interactions between Homotopy Theory and Algebra","volume":"436","author":"Huneke C.","year":"2007"},{"issue":"9","key":"S0218196723500340BIB022","doi-asserted-by":"crossref","first-page":"3194","DOI":"10.1016\/j.jalgebra.2008.02.021","volume":"322","author":"Huneke C.","year":"2009","journal-title":"J. Algebra"},{"issue":"3","key":"S0218196723500340BIB023","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1017\/S0305004100070493","volume":"110","author":"Huneke C.","year":"1991","journal-title":"Math. Proc. Cambridge Philos. Soc."},{"issue":"1","key":"S0218196723500340BIB024","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1007\/BF01233420","volume":"102","author":"Huneke C.","year":"1990","journal-title":"Invent. Math."},{"issue":"2","key":"S0218196723500340BIB025","doi-asserted-by":"crossref","first-page":"765","DOI":"10.1090\/S0002-9947-1993-1124167-6","volume":"339","author":"Huneke C. L.","year":"1993","journal-title":"Trans. Amer. Math. Soc."},{"issue":"5","key":"S0218196723500340BIB026","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1007\/s00013-006-1115-1","volume":"88","author":"Khashyarmanesh K.","year":"2007","journal-title":"Arch. Math."},{"issue":"4","key":"S0218196723500340BIB027","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.21136\/CMJ.2017.0313-16","volume":"67","author":"Khojali A.","year":"2017","journal-title":"Czechoslovak Math. J."},{"issue":"2","key":"S0218196723500340BIB028","doi-asserted-by":"crossref","first-page":"542","DOI":"10.1080\/00927872.2010.533223","volume":"40","author":"Lynch L. R.","year":"2012","journal-title":"Comm. Algebra"},{"issue":"1","key":"S0218196723500340BIB029","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1007\/BF01244301","volume":"113","author":"Lyubeznik G.","year":"1993","journal-title":"Invent. Math."},{"issue":"2","key":"S0218196723500340BIB030","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1016\/j.aim.2007.01.004","volume":"213","author":"Lyubeznik G.","year":"2007","journal-title":"Adv. Math."},{"issue":"1","key":"S0218196723500340BIB032","doi-asserted-by":"crossref","first-page":"93","DOI":"10.32917\/h2021027","volume":"52","author":"Nadi P.","year":"2022","journal-title":"Hiroshima Math. J."},{"issue":"7","key":"S0218196723500340BIB033","doi-asserted-by":"crossref","first-page":"2050138","DOI":"10.1142\/S0219498820501388","volume":"19","author":"Nadi P.","year":"2020","journal-title":"J. Algebra Appl."},{"issue":"6","key":"S0218196723500340BIB034","doi-asserted-by":"crossref","first-page":"1125","DOI":"10.4310\/MRL.2013.v20.n6.a11","volume":"20","author":"N\u00fa\u00f1ez-Betancourt L.","year":"2013","journal-title":"Math. Res. Lett."},{"key":"S0218196723500340BIB035","series-title":"Contemporary Mathematics","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1090\/conm\/657\/13094","volume-title":"Mexican Mathematicians Abroad: Recent Contributions","volume":"657","author":"N\u00fa\u00f1ez-Betancourt L.","year":"2016"},{"key":"S0218196723500340BIB036","doi-asserted-by":"crossref","first-page":"327","DOI":"10.2307\/1970785","volume":"98","author":"Ogus A.","year":"1973","journal-title":"Ann. Math."},{"issue":"42","key":"S0218196723500340BIB037","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1007\/BF02685877","volume":"1","author":"Peskine C.","year":"1973","journal-title":"Inst. Hautes \u00c9tudes Sci. Publ. Math."},{"issue":"10","key":"S0218196723500340BIB038","doi-asserted-by":"crossref","first-page":"4099","DOI":"10.1090\/proc\/13697","volume":"145","author":"Sbarra E.","year":"2017","journal-title":"Proc. Amer. Math. Soc."},{"key":"S0218196723500340BIB039","first-page":"245","volume-title":"Commutative Algebra and Algebraic Geometry, in Proc. Ferrara Meeting in Honor of Mario Fiorentini on the Occasion of his Retirement, Ferrara, Italy","author":"Schenzel P.","year":"1999"},{"issue":"2","key":"S0218196723500340BIB040","doi-asserted-by":"crossref","first-page":"751","DOI":"10.1016\/j.jalgebra.2003.12.016","volume":"275","author":"Schenzel P.","year":"2004","journal-title":"J. Algebra"},{"issue":"4","key":"S0218196723500340BIB041","doi-asserted-by":"crossref","first-page":"1315","DOI":"10.1090\/S0002-9939-08-09676-7","volume":"137","author":"Schenzel P.","year":"2009","journal-title":"Proc. Amer. Math. Soc."},{"issue":"2","key":"S0218196723500340BIB042","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/s00013-010-0149-6","volume":"95","author":"Schenzel P.","year":"2010","journal-title":"Arch. Math."},{"issue":"6","key":"S0218196723500340BIB043","doi-asserted-by":"crossref","first-page":"2681","DOI":"10.1080\/00927872.2020.1722821","volume":"48","author":"Singh A. K.","year":"2020","journal-title":"Commun. Algebra"},{"key":"S0218196723500340BIB044","series-title":"Progress in Mathematics","volume-title":"Combinatorics and Commutative Algebra","volume":"41","author":"Stanley R. P.","year":"1996","edition":"2"},{"issue":"6","key":"S0218196723500340BIB045","doi-asserted-by":"crossref","first-page":"1631","DOI":"10.1090\/S0002-9939-00-05755-5","volume":"129","author":"Walther U.","year":"2001","journal-title":"Proc. Amer. Math. Soc."},{"issue":"1","key":"S0218196723500340BIB046","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1112\/S0010437X06002387","volume":"143","author":"Zhang W.","year":"2007","journal-title":"Compos. Math."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196723500340","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,17]],"date-time":"2023-07-17T07:03:18Z","timestamp":1689577398000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218196723500340"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6]]},"references-count":44,"journal-issue":{"issue":"04","published-print":{"date-parts":[[2023,6]]}},"alternative-id":["10.1142\/S0218196723500340"],"URL":"https:\/\/doi.org\/10.1142\/s0218196723500340","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,6]]}}}