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We show that there are 13 such reducts and describe their structures and group of automorphisms. <\/jats:p>","DOI":"10.1142\/s0218196723500078","type":"journal-article","created":{"date-parts":[[2022,11,22]],"date-time":"2022-11-22T09:30:55Z","timestamp":1669109455000},"page":"87-103","source":"Crossref","is-referenced-by-count":0,"title":["Functional reducts of the countable atomless Boolean algebra"],"prefix":"10.1142","volume":"33","author":[{"given":"Bertalan","family":"Bodor","sequence":"first","affiliation":[{"name":"Department of Algebra, Charles University, Sokolovska 83, 186 00, Praha 8, Czech Republic"}]},{"given":"Kende","family":"Kalina","sequence":"additional","affiliation":[{"name":"Department of Algebra, Charles University, Sokolovska 83, 186 00, Praha 8, Czech Republic"}]},{"given":"Csaba","family":"Szab\u00f3","sequence":"additional","affiliation":[{"name":"Department of Algebra and Number Theory, E\u00f6tv\u00f6s Lor\u00e1nd University, 1117 Budapest, P\u00e1zm\u00e1ny P\u00e9ter s\u00e9t\u00e1ny 1\/c, Hungary"}]}],"member":"219","published-online":{"date-parts":[[2022,11,21]]},"reference":[{"issue":"3","key":"S0218196723500078BIB002","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1112\/plms\/pdv037","volume":"111","author":"Bodirsky M.","year":"2015","journal-title":"Proc. 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