{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:11Z","timestamp":1740134531104,"version":"3.37.3"},"reference-count":10,"publisher":"Wiley","license":[{"start":{"date-parts":[[2018,8,7]],"date-time":"2018-08-07T00:00:00Z","timestamp":1533600000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11571123","11671153","2015A030313377","2015lkxm19"],"award-info":[{"award-number":["11571123","11671153","2015A030313377","2015lkxm19"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11571123","11671153","2015A030313377","2015lkxm19"],"award-info":[{"award-number":["11571123","11671153","2015A030313377","2015lkxm19"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003453","name":"Natural Science Foundation of Guangdong Province","doi-asserted-by":"publisher","award":["11571123","11671153","2015A030313377","2015lkxm19"],"award-info":[{"award-number":["11571123","11671153","2015A030313377","2015lkxm19"]}],"id":[{"id":"10.13039\/501100003453","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003169","name":"South China Normal University","doi-asserted-by":"publisher","award":["11571123","11671153","2015A030313377","2015lkxm19"],"award-info":[{"award-number":["11571123","11671153","2015A030313377","2015lkxm19"]}],"id":[{"id":"10.13039\/501100003169","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2018,8,7]]},"abstract":"<jats:p>We show that an order <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>m<\/mml:mi><\/mml:mrow><\/mml:math> dimension 2 tensor is primitive if and only if its majorization matrix is primitive, and then we obtain the characterization of order <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>m<\/mml:mi><\/mml:mrow><\/mml:math> dimension 2 strongly primitive tensors and the bound of the strongly primitive degree. Furthermore, we study the properties of strongly primitive tensors with <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mi>n<\/mml:mi><mml:mo>\u2265<\/mml:mo><mml:mn mathvariant=\"normal\">3<\/mml:mn><\/mml:math> and propose some problems for further research.<\/jats:p>","DOI":"10.1155\/2018\/5241490","type":"journal-article","created":{"date-parts":[[2018,8,7]],"date-time":"2018-08-07T19:30:56Z","timestamp":1533670256000},"page":"1-9","source":"Crossref","is-referenced-by-count":0,"title":["Some Properties of the Strong Primitivity of Nonnegative Tensors"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4503-694X","authenticated-orcid":true,"given":"Lihua","family":"You","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yafei","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6398-0614","authenticated-orcid":true,"given":"Pingzhi","family":"Yuan","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2005.05.007"},{"year":"1976","key":"7"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1137\/100807120"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2013.07.010"},{"key":"6","first-page":"421","volume":"4","year":"2010","journal-title":"International Journal of Algebra"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2014.03.006"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2015.04.009"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2014.09.047"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2013.08.014"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.laa.2014.12.033"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2018\/5241490.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2018\/5241490.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2018\/5241490.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,8,7]],"date-time":"2018-08-07T19:30:58Z","timestamp":1533670258000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/jam\/2018\/5241490\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,7]]},"references-count":10,"alternative-id":["5241490","5241490"],"URL":"https:\/\/doi.org\/10.1155\/2018\/5241490","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2018,8,7]]}}}