{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T01:04:28Z","timestamp":1775523868237,"version":"3.50.1"},"reference-count":12,"publisher":"Canadian Mathematical Society","issue":"2","license":[{"start":{"date-parts":[[2018,11,20]],"date-time":"2018-11-20T00:00:00Z","timestamp":1542672000000},"content-version":"unspecified","delay-in-days":537,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Can. math. bull."],"published-print":{"date-parts":[[2017,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper, double commutativity and the reverse order law for the core inverse are considered. Then new characterizations of the Moore\u2013Penrose inverse of a regular element are given by one-sided invertibilities in a ring. Furthermore, the characterizations and representations of the core and dual core inverses of a regular element are considered.<\/jats:p>","DOI":"10.4153\/cmb-2016-045-7","type":"journal-article","created":{"date-parts":[[2016,7,15]],"date-time":"2016-07-15T16:19:03Z","timestamp":1468599543000},"page":"269-282","source":"Crossref","is-referenced-by-count":67,"title":["Characterizations and Representations of Core and Dual Core Inverses"],"prefix":"10.4153","volume":"60","author":[{"given":"Jianlong","family":"Chen","sequence":"first","affiliation":[]},{"given":"Huihui","family":"Zhu","sequence":"additional","affiliation":[]},{"given":"Pedro","family":"Patricio","sequence":"additional","affiliation":[]},{"given":"Yulin","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"2643","published-online":{"date-parts":[[2018,11,20]]},"reference":[{"key":"S0008439500022876_ref011","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2015.1043716"},{"key":"S0008439500022876_ref010","unstructured":"Xu S. Z. , Chen J. L. , and Zhang X. X. , New characterizations for core inverses in rings with involution. arxiv:1512.08073v1"},{"key":"S0008439500022876_ref005","doi-asserted-by":"publisher","DOI":"10.1007\/BF00281485"},{"key":"S0008439500022876_ref003","first-page":"46","article-title":"Solution to problem 48-1: reverse order law for the core inverse.","volume":"49","author":"Cohen","year":"2012","journal-title":"Image"},{"key":"S0008439500022876_ref007","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100030401"},{"key":"S0008439500022876_ref004","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2012.753593"},{"key":"S0008439500022876_ref002","doi-asserted-by":"publisher","DOI":"10.1080\/03081080902778222"},{"key":"S0008439500022876_ref012","unstructured":"Zhu H. , Chen J. , and Patricio P. , Reverse order law for the inverse along an element. Linear Multilinear Algebra, to appear. http:\/\/dx.doi.org\/!0.1080\/03081087.2016.1178209"},{"key":"S0008439500022876_ref008","doi-asserted-by":"publisher","DOI":"10.1080\/03081089708818521"},{"key":"S0008439500022876_ref001","article-title":"Problem 48-1: reverse order law for the core inverse.","volume":"48","author":"Baksalary","year":"2012","journal-title":"Image"},{"key":"S0008439500022876_ref009","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2014.09.003"},{"key":"S0008439500022876_ref006","doi-asserted-by":"publisher","DOI":"10.1080\/03081080802652279"}],"container-title":["Canadian Mathematical Bulletin"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0008439500022876","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,17]],"date-time":"2019-04-17T18:10:08Z","timestamp":1555524608000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0008439500022876\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,1]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,6,1]]}},"alternative-id":["S0008439500022876"],"URL":"https:\/\/doi.org\/10.4153\/cmb-2016-045-7","relation":{},"ISSN":["0008-4395","1496-4287"],"issn-type":[{"value":"0008-4395","type":"print"},{"value":"1496-4287","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,6,1]]}}}