{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T07:13:35Z","timestamp":1760080415217},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T00:00:00Z","timestamp":1596240000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T00:00:00Z","timestamp":1596240000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Front. Math. China"],"published-print":{"date-parts":[[2020,8]]},"DOI":"10.1007\/s11464-020-0856-7","type":"journal-article","created":{"date-parts":[[2020,9,1]],"date-time":"2020-09-01T04:23:33Z","timestamp":1598934213000},"page":"685-699","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Weighted binary relations involving core-EP inverse"],"prefix":"10.1007","volume":"15","author":[{"given":"Yuefeng","family":"Gao","sequence":"first","affiliation":[]},{"given":"Jianlong","family":"Chen","sequence":"additional","affiliation":[]},{"given":"Pedro","family":"Patr\u00edcio","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,9,1]]},"reference":[{"key":"856_CR1","doi-asserted-by":"publisher","first-page":"681","DOI":"10.1080\/03081080902778222","volume":"58","author":"O M Baksalary","year":"2010","unstructured":"Baksalary O M, Trenkler G. Core inverse of matrices. Linear Multilinear Algebra, 2010, 58: 681\u2013697","journal-title":"Linear Multilinear Algebra"},{"key":"856_CR2","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1090\/S0002-9904-1978-14442-5","volume":"84","author":"M P Drazin","year":"1978","unstructured":"Drazin M P. Natural structures on semigroups with involution. Bull Amer Math Soc, 1978, 84: 139\u2013141","journal-title":"Bull Amer Math Soc"},{"key":"856_CR3","doi-asserted-by":"publisher","first-page":"265","DOI":"10.2989\/16073606.2017.1377779","volume":"41","author":"D E Ferreyra","year":"2018","unstructured":"Ferreyra D E, Levis F E, Thome N. Revisiting the core-EP inverse and its extension to rectangular matrices. Quaest Math, 2018, 41: 265\u2013281","journal-title":"Quaest Math"},{"key":"856_CR4","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1080\/00927872.2016.1260729","volume":"46","author":"Y F Gao","year":"2018","unstructured":"Gao Y F, Chen J L. Pseudo core inverses in rings with involution. Comm Algebra, 2018, 46: 38\u201350","journal-title":"Comm Algebra"},{"key":"856_CR5","doi-asserted-by":"publisher","first-page":"3073","DOI":"10.2298\/FIL1809073G","volume":"32","author":"Y F Gao","year":"2018","unstructured":"Gao Y F, Chen J L. *-DMP elements in *-semigroups and *-rings. Filomat, 2018, 32: 3073\u20133085","journal-title":"Filomat"},{"key":"856_CR6","doi-asserted-by":"publisher","first-page":"1160","DOI":"10.1080\/03081087.2018.1535573","volume":"68","author":"Y F Gao","year":"2020","unstructured":"Gao Y F, Chen J L, Patricio P. Representations and properties of the W-weighted core-EP inverse. Linear Multilinear Algebra, 2020, 68: 1160\u20131174","journal-title":"Linear Multilinear Algebra"},{"key":"856_CR7","first-page":"1","volume":"25","author":"R E Hartwig","year":"1980","unstructured":"Hartwig R E. How to partially order regular elements. Math Japon, 1980, 25: 1\u201313","journal-title":"Math Japon"},{"key":"856_CR8","first-page":"215","volume":"253","author":"A Hern\u00e1ndez","year":"2015","unstructured":"Hern\u00e1ndez A, Lattanzi M, Thome N. On some new pre-orders defined by weighted Drazin inverses. Appl Math Comput, 2015, 253: 215\u2013223","journal-title":"Appl Math Comput"},{"key":"856_CR9","first-page":"108","volume":"282","author":"A Hern\u00e1ndez","year":"2016","unstructured":"Hern\u00e1ndez A, Lattanzi M, Thome N. Weighted binary relations involving the Drazin inverse. Appl Math Comput, 2016, 282: 108\u2013116","journal-title":"Appl Math Comput"},{"key":"856_CR10","doi-asserted-by":"publisher","first-page":"792","DOI":"10.1080\/03081087.2013.791690","volume":"62","author":"K Manjunatha Prasad","year":"2014","unstructured":"Manjunatha Prasad K, Mohana K S. Core-EP inverse. Linear Multilinear Algebra, 2014, 62: 792\u2013802","journal-title":"Linear Multilinear Algebra"},{"key":"856_CR11","doi-asserted-by":"publisher","first-page":"803","DOI":"10.1080\/03081087.2017.1323846","volume":"66","author":"J Marovt","year":"2018","unstructured":"Marovt J. Orders in rings based on the core-nilpotent decomposition. Linear Multilinear Algebra, 2018, 66: 803\u2013820","journal-title":"Linear Multilinear Algebra"},{"key":"856_CR12","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1016\/0024-3795(87)90248-5","volume":"92","author":"S K Mitra","year":"1987","unstructured":"Mitra S K. On group inverses and the sharp order. Linear Algebra Appl, 1987, 92: 17\u201337","journal-title":"Linear Algebra Appl"},{"key":"856_CR13","doi-asserted-by":"publisher","DOI":"10.1142\/7170","volume-title":"Matrix Partial Orders, Shorted Operators and Applications","author":"S K Mitra","year":"2010","unstructured":"Mitra S K, Bhimasankaram P, Malik S B. Matrix Partial Orders, Shorted Operators and Applications. Singapore: World Scientific, 2010"},{"key":"856_CR14","doi-asserted-by":"publisher","first-page":"585","DOI":"10.2989\/16073606.2017.1393021","volume":"41","author":"D Mosia\u0107","year":"2018","unstructured":"Mosia\u0107 D. Core-EP pre-order of Hilbert space operators. Quaest Math, 2018, 41: 585\u2013600","journal-title":"Quaest Math"},{"key":"856_CR15","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1080\/03081087.2017.1418824","volume":"67","author":"D Mosia\u0107","year":"2019","unstructured":"Mosia\u0107 D. Weighted core-EP inverse of an operator between Hilbert spaces. Linear Multilinear Algebra, 2019, 67: 278\u2013298","journal-title":"Linear Multilinear Algebra"},{"key":"856_CR16","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1017\/S0013091500003801","volume":"23","author":"K S S Nambooripad","year":"1980","unstructured":"Nambooripad K S S. The natural partial order on a regular semigroup. Proc Edinb Math Soc, 1980, 23: 249\u2013260","journal-title":"Proc Edinb Math Soc"},{"key":"856_CR17","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1016\/j.laa.2015.01.004","volume":"471","author":"D S Raki\u0107","year":"2015","unstructured":"Raki\u0107 D S, Djordjevi\u0107 D S. Partial orders in rings based on generalized inverses-unified theory. Linear Algebra Appl, 2015, 471: 203\u2013223","journal-title":"Linear Algebra Appl"},{"key":"856_CR18","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1016\/j.laa.2016.08.008","volume":"508","author":"H X Wang","year":"2016","unstructured":"Wang H X. Core-EP decomposition and its applications. Linear Algebra Appl, 2016, 508: 289\u2013300","journal-title":"Linear Algebra Appl"},{"key":"856_CR19","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1080\/03081087.2017.1292995","volume":"66","author":"H X Wang","year":"2018","unstructured":"Wang H X, Liu X J. A partial order on the set of complex matrices with index one. Linear Multilinear Algebra, 2018, 66: 206\u2013216","journal-title":"Linear Multilinear Algebra"}],"container-title":["Frontiers of Mathematics in China"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11464-020-0856-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11464-020-0856-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11464-020-0856-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,1]],"date-time":"2021-09-01T01:08:16Z","timestamp":1630458496000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11464-020-0856-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8]]},"references-count":19,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2020,8]]}},"alternative-id":["856"],"URL":"https:\/\/doi.org\/10.1007\/s11464-020-0856-7","relation":{},"ISSN":["1673-3452","1673-3576"],"issn-type":[{"value":"1673-3452","type":"print"},{"value":"1673-3576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,8]]},"assertion":[{"value":"1 July 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 August 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}