{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,25]],"date-time":"2025-09-25T18:05:05Z","timestamp":1758823505681},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2002,2,5]],"date-time":"2002-02-05T00:00:00Z","timestamp":1012867200000},"content-version":"unspecified","delay-in-days":4,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Proceedings of the Edinburgh Mathematical Society"],"published-print":{"date-parts":[[2002,2]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let $\\mathcal{A}$ be a proper independence algebra of finite rank, let $G$ be the group of automorphisms of $\\mathcal{A}$, let $a$ be a singular endomorphism and let $a^G$ be the semigroup generated by all the elements $g^{-1}ag$, where $g\\in G$. The aim of this paper is to prove that $a^G$ is a semigroup generated by its own idempotents.<\/jats:p><jats:p>AMS 2000 <jats:italic>Mathematics subject classification:<\/jats:italic> Primary 20M20; 20M10; 08A35<\/jats:p>","DOI":"10.1017\/s0013091500000729","type":"journal-article","created":{"date-parts":[[2008,8,14]],"date-time":"2008-08-14T09:54:47Z","timestamp":1218707687000},"page":"205-217","source":"Crossref","is-referenced-by-count":9,"title":["NORMAL SEMIGROUPS OF ENDOMORPHISMS OF PROPER INDEPENDENCE ALGEBRAS ARE IDEMPOTENT GENERATED"],"prefix":"10.1017","volume":"45","author":[{"given":"Jo\u00e3o","family":"Ara\u00fajo","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2002,2,5]]},"container-title":["Proceedings of the Edinburgh Mathematical Society"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0013091500000729","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,3]],"date-time":"2019-04-03T20:02:55Z","timestamp":1554321775000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0013091500000729\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,2]]},"references-count":0,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2002,2]]}},"alternative-id":["S0013091500000729"],"URL":"https:\/\/doi.org\/10.1017\/s0013091500000729","relation":{},"ISSN":["0013-0915","1464-3839"],"issn-type":[{"value":"0013-0915","type":"print"},{"value":"1464-3839","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,2]]}}}