{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T17:54:33Z","timestamp":1649008473307},"reference-count":4,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2012,11]]},"abstract":"<jats:p> Part I proved that for every quasivariety \ud835\udca6 of structures (which may have both operations and relations) there is a semilattice S with operators such that the lattice of quasi-equational theories of \ud835\udca6 (the dual of the lattice of sub-quasivarieties of \ud835\udca6) is isomorphic to Con(S, +, 0, \ud835\udca1). It is known that if S is a join semilattice with 0 (and no operators), then there is a quasivariety \ud835\udcac such that the lattice of theories of \ud835\udcac is isomorphic to Con(S, +, 0). We prove that if S is a semilattice having both 0 and 1 with a group \ud835\udca2 of operators acting on S, and each operator in \ud835\udca2 fixes both 0 and 1, then there is a quasivariety \ud835\udcb2 such that the lattice of theories of \ud835\udcb2 is isomorphic to Con(S, +, 0, \ud835\udca2). <\/jats:p>","DOI":"10.1142\/s021819671250066x","type":"journal-article","created":{"date-parts":[[2012,10,2]],"date-time":"2012-10-02T09:40:32Z","timestamp":1349170832000},"page":"1250066","source":"Crossref","is-referenced-by-count":2,"title":["LATTICES OF QUASI-EQUATIONAL THEORIES AS CONGRUENCE LATTICES OF SEMILATTICES WITH OPERATORS: PART II"],"prefix":"10.1142","volume":"22","author":[{"given":"KIRA","family":"ADARICHEVA","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Yeshiva University, New York, NY 10016, 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":[[2012,12,3]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/s11225-005-7378-x"},{"key":"rf4","first-page":"123","volume":"14","author":"Gorbunov V.","journal-title":"Algebra Logika"},{"key":"rf5","series-title":"Siberian School of Algebra and Logic","volume-title":"Algebraic Theory of Quasivarieties","author":"Gorbunov V.","year":"1998"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/BF01669103"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021819671250066X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T12:32:08Z","timestamp":1565181128000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021819671250066X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11]]},"references-count":4,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2012,12,3]]},"published-print":{"date-parts":[[2012,11]]}},"alternative-id":["10.1142\/S021819671250066X"],"URL":"https:\/\/doi.org\/10.1142\/s021819671250066x","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,11]]}}}