{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,21]],"date-time":"2025-09-21T18:28:51Z","timestamp":1758479331345},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[1997,8]]},"abstract":"<jats:p> We show that a locally finite variety which omits abelian types is self-rectangulating if and only if it has a compatible semilattice term operation. Such varieties must have type-set {5}. These varieties are residually small and, when they are finitely generated, they have definable principal congruences. We show that idempotent varieties with a compatible semilattice term operation have the congruence extension property. <\/jats:p>","DOI":"10.1142\/s021819679700023x","type":"journal-article","created":{"date-parts":[[2003,10,21]],"date-time":"2003-10-21T00:36:45Z","timestamp":1066696605000},"page":"511-540","source":"Crossref","is-referenced-by-count":4,"title":["Self-Rectangulating Varieties of Type 5"],"prefix":"10.1142","volume":"07","author":[{"given":"Keith A.","family":"Kearnes","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, University of Arkansas, Fayetteville, AR\u00a072701, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"\u00c1gnes","family":"Szendrei","sequence":"additional","affiliation":[{"name":"Bolyai Institute,  Aradi V\u00e9rtan\u00fak Tere 1 H-6720 Szeged, Hungary"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021819679700023X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:53:31Z","timestamp":1565128411000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021819679700023X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,8]]},"references-count":0,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1997,8]]}},"alternative-id":["10.1142\/S021819679700023X"],"URL":"https:\/\/doi.org\/10.1142\/s021819679700023x","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,8]]}}}