{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,8,18]],"date-time":"2022-08-18T14:28:05Z","timestamp":1660832885694},"reference-count":4,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2021,3]]},"abstract":"<jats:p> Under broad finiteness conditions, such as the existence of a greatest or least element, a semidistributive lattice has the two element lattice as a homomorphic image, and so, if it has more than two elements, is not simple. However, the existence of a simple, semidistributive lattice with more than two elements has remained in question. This paper constructs such a lattice. <\/jats:p>","DOI":"10.1142\/s0218196721500119","type":"journal-article","created":{"date-parts":[[2020,11,9]],"date-time":"2020-11-09T10:29:40Z","timestamp":1604917780000},"page":"219-224","source":"Crossref","is-referenced-by-count":3,"title":["A simple semidistributive lattice"],"prefix":"10.1142","volume":"31","author":[{"given":"Ralph","family":"Freese","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. B.","family":"Nation","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,12,7]]},"reference":[{"key":"S0218196721500119BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/s11225-006-8300-x"},{"key":"S0218196721500119BIB002","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/042"},{"key":"S0218196721500119BIB003","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1962-040-1"},{"key":"S0218196721500119BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s11083-011-9225-1"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196721500119","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,12]],"date-time":"2021-04-12T09:23:23Z","timestamp":1618219403000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196721500119"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,12,7]]},"references-count":4,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2021,3]]}},"alternative-id":["10.1142\/S0218196721500119"],"URL":"https:\/\/doi.org\/10.1142\/s0218196721500119","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,12,7]]}}}