{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T12:34:16Z","timestamp":1774528456674,"version":"3.50.1"},"reference-count":3,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2001,10]]},"abstract":"<jats:p> In this note we show that every de Morgan algebra is isomorphic to a two-subset algebra, &lt; P,\u2294,\u2293,~,0<jats:sub>P<\/jats:sub>,1<jats:sub>P<\/jats:sub>&gt;, where P is a set of pairs (X,Y) of subsets of a set I, (X,Y)\u2294 (X\u2032,Y\u2032)=(X\u2229 X\u2032,Y\u222a Y\u2032),(X,Y) \u2293 (X\u2032,Y\u2032)=(X\u222a X\u2032,Y\u2229Y\u2032),~(X,Y)= (Y,X), 0<jats:sub>P<\/jats:sub>=(I,\u2205) and 1<jats:sub>P<\/jats:sub>=(\u2205,I). This characterization generalizes a previous result that applied only to a special type of de Morgan algebras called ternary algebras. <\/jats:p>","DOI":"10.1142\/s0218196701000681","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:02:01Z","timestamp":1027767721000},"page":"525-527","source":"Crossref","is-referenced-by-count":11,"title":["A CHARACTERIZATION OF de MORGAN ALGEBRAS"],"prefix":"10.1142","volume":"11","author":[{"given":"J. A.","family":"BRZOZOWSKI","sequence":"first","affiliation":[{"name":"Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"p_2","first-page":"259","volume":"5","author":"Bialynicki-Birula A.","year":"1957","journal-title":"S\u00e9r. Math. Astronom. Phys."},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196797000319"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196798000156"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196701000681","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:54:57Z","timestamp":1565128497000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196701000681"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,10]]},"references-count":3,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2001,10]]}},"alternative-id":["10.1142\/S0218196701000681"],"URL":"https:\/\/doi.org\/10.1142\/s0218196701000681","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,10]]}}}