{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:41:47Z","timestamp":1753886507173,"version":"3.41.2"},"reference-count":22,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,6,8]],"date-time":"2011-06-08T00:00:00Z","timestamp":1307491200000},"content-version":"vor","delay-in-days":158,"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Young Scientist fund from Shandong Province, China","award":["2008BS01016"],"award-info":[{"award-number":["2008BS01016"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>It has been well known that the band of idempotents of a naturally\nordered orthodox semigroup satisfying the \u201cstrong Dubreil\u2010Jacotin condition\u201d forms a normal band. In the literature, the naturally ordered orthodox semigroups satisfying the strong Dubreil\u2010Jacotin condition were first considered by  Blyth and  Almeida Santos in 1992. Based on the name \u201cepigroup\u201d in the paper of  Blyth and   Almeida Santos and also the name \u201cepigroups\u201d proposed by  Shevrin in 1955; we now call the naturally ordered orthodox semigroups satisfying the Dubreil\u2010Jacotin condition\nthe <jats:italic>epiorthodox semigroups<\/jats:italic>. Because the structure of this kind of orthodox\nsemigroups has not yet been described, we therefore give a structure theorem\nfor the epi\u2010orthodox semigroups.<\/jats:p>","DOI":"10.1155\/2011\/181707","type":"journal-article","created":{"date-parts":[[2011,6,8]],"date-time":"2011-06-08T20:01:07Z","timestamp":1307563267000},"update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On Epiorthodox Semigroups"],"prefix":"10.1155","volume":"2011","author":[{"given":"Shouxu","family":"Du","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinzhai","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K. 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