{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T13:10:57Z","timestamp":1769605857768,"version":"3.49.0"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"6","license":[{"start":{"date-parts":[[2013,12,3]],"date-time":"2013-12-03T00:00:00Z","timestamp":1386028800000},"content-version":"unspecified","delay-in-days":2,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proceedings of the Royal Society of Edinburgh: Section A Mathematics"],"published-print":{"date-parts":[[2013,12]]},"abstract":"<jats:p>A semigroup is <jats:italic>amiable<\/jats:italic> if there is exactly one idempotent in each \u211b*-class and in each \u2112*-class. A semigroup is <jats:italic>adequate<\/jats:italic> if it is amiable and if its idempotents commute. We characterize adequate semigroups by showing that they are precisely those amiable semigroups that do not contain isomorphic copies of two particular non-adequate semigroups as subsemigroups.<\/jats:p>","DOI":"10.1017\/s030821051100182x","type":"journal-article","created":{"date-parts":[[2013,12,3]],"date-time":"2013-12-03T05:30:14Z","timestamp":1386048614000},"page":"1115-1122","source":"Crossref","is-referenced-by-count":4,"title":["A characterization of adequate semigroups by forbidden subsemigroups"],"prefix":"10.1017","volume":"143","author":[{"given":"Jo\u00e3o","family":"Ara\u00fajo","sequence":"first","affiliation":[]},{"given":"Michael","family":"Kinyon","sequence":"additional","affiliation":[]},{"given":"Ant\u00f3nio","family":"Malheiro","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2013,12,3]]},"container-title":["Proceedings of the Royal Society of Edinburgh: Section A Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S030821051100182X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,22]],"date-time":"2019-04-22T22:31:31Z","timestamp":1555972291000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S030821051100182X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,12]]},"references-count":0,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2013,12]]}},"alternative-id":["S030821051100182X"],"URL":"https:\/\/doi.org\/10.1017\/s030821051100182x","relation":{},"ISSN":["0308-2105","1473-7124"],"issn-type":[{"value":"0308-2105","type":"print"},{"value":"1473-7124","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,12]]}}}