{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:46:40Z","timestamp":1753886800397,"version":"3.41.2"},"reference-count":4,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2010,9,23]],"date-time":"2010-09-23T00:00:00Z","timestamp":1285200000000},"content-version":"vor","delay-in-days":265,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>Several results concerning ideals of a compact topological semigroup <jats:italic>S<\/jats:italic> with <jats:italic>S<\/jats:italic><jats:sup>2<\/jats:sup> = <jats:italic>S<\/jats:italic> can be found in the literature. \nIn this paper, we further investigate in a compact connected topological semigroup <jats:italic>S<\/jats:italic> how the conditions <jats:italic>S<\/jats:italic><jats:sup>2<\/jats:sup> = <jats:italic>S<\/jats:italic> and <jats:italic>S<\/jats:italic><jats:sup>2<\/jats:sup> \u2260 <jats:italic>S<\/jats:italic> affect\nthe structure of ideals of <jats:italic>S<\/jats:italic>, especially the maximal ideals.<\/jats:p>","DOI":"10.1155\/2010\/357816","type":"journal-article","created":{"date-parts":[[2010,9,23]],"date-time":"2010-09-23T18:36:27Z","timestamp":1285266987000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On Maximal Ideals of Compact Connected Topological Semigroups"],"prefix":"10.1155","volume":"2010","author":[{"given":"Phoebe","family":"McLaughlin","sequence":"first","affiliation":[]},{"given":"Shing S.","family":"So","sequence":"additional","affiliation":[]},{"given":"Haohao","family":"Wang","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2010,9,23]]},"reference":[{"key":"e_1_2_3_1_2","series-title":"Monographs and Textbooks in Pure and Applied Mathematics","volume-title":"The Theory of Topological Semigroups","author":"Carruth J. H.","year":"1983"},{"key":"e_1_2_3_2_2","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/007.1"},{"key":"e_1_2_3_3_2","series-title":"Mathematical Center Tracts","volume-title":"Topological Semigroups","author":"Paalman-de Miranda A. B.","year":"1970"},{"key":"e_1_2_3_4_2","first-page":"121","article-title":"Right simple subsemigroups and right subgroups of a compact semigroup","volume":"11","author":"Roy K.","year":"1998","journal-title":"Journal of Institute of Mathematics & Computer Sciences"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2010\/357816.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2010\/357816.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2010\/357816","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,18]],"date-time":"2024-06-18T16:29:55Z","timestamp":1718728195000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2010\/357816"}},"subtitle":[],"editor":[{"given":"Harvinder S.","family":"Sidhu","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":4,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1155\/2010\/357816"],"URL":"https:\/\/doi.org\/10.1155\/2010\/357816","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2010,1]]},"assertion":[{"value":"2010-05-24","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2010-08-27","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2010-09-23","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"357816"}}