{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T16:20:48Z","timestamp":1648657248087},"reference-count":25,"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":[[2007,11]]},"abstract":"<jats:p> Let V be a non-trivial variety of bounded distributive lattices with a quantifier, as introduced by Cignoli in [7]. It is shown that if V does not contain the 4-element bounded Boolean lattice with a simple quantifier, then V contains non-isomorphic algebras with isomorphic endomorphism monoids, but there are always at most two such algebras. Further, it is shown that if V contains the 4-element bounded Boolean lattice with a simple quantifier, then it is finite-to-finite universal (in the categorical sense) and, as a consequence, for any monoid M, there exists a proper class of non-isomorphic algebras in V for which the endomorphism monoid of every member is isomorphic to M. <\/jats:p>","DOI":"10.1142\/s0218196707004190","type":"journal-article","created":{"date-parts":[[2007,11,22]],"date-time":"2007-11-22T10:45:11Z","timestamp":1195728311000},"page":"1349-1376","source":"Crossref","is-referenced-by-count":1,"title":["ENDOMORPHISMS OF DISTRIBUTIVE LATTICES WITH A QUANTIFIER"],"prefix":"10.1142","volume":"17","author":[{"given":"M. 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