{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T14:21:11Z","timestamp":1717597271435},"reference-count":10,"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":[[2000,10]]},"abstract":"<jats:p> Let [Formula: see text] be a variety of the form [Formula: see text] where [Formula: see text] is a finite subdirectly irreducible algebra. We show that if [Formula: see text] is naturally dualizable (in the sense of D. M. Clark and B. A. Davey, i.e. with respect to the discrete topology) then the variety [Formula: see text][Formula: see text] determined by all normal identities of [Formula: see text] (the so called nilpotent shift of [Formula: see text]) is also naturally dualizable. We give a finite algebra [Formula: see text] and a relational system [Formula: see text], constructed explicitly from the system [Formula: see text] for [Formula: see text], such that [Formula: see text] and [Formula: see text] dualizes [Formula: see text] . <\/jats:p>","DOI":"10.1142\/s0218196700000212","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:03:21Z","timestamp":1027767801000},"page":"651-664","source":"Crossref","is-referenced-by-count":1,"title":["DUALITY OF NORMALLY PRESENTED VARIETIES"],"prefix":"10.1142","volume":"10","author":[{"given":"I.","family":"CHAJDA","sequence":"first","affiliation":[{"name":"Department of Algebra and Geometry, Palack\u00fd University Olomouc, Tomkova 40,  779 00 Olomouc, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"HALA\u0160","sequence":"additional","affiliation":[{"name":"Department of Algebra and Geometry, Palack\u00fd University Olomouc, Tomkova 40,  779 00 Olomouc, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. G.","family":"PINUS","sequence":"additional","affiliation":[{"name":"Department of Mathematics,  State Technical University Novosibirsk, 630093 Novosibirsk, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"I. G.","family":"ROSENBERG","sequence":"additional","affiliation":[{"name":"D\u00e9partment de Math\u00e9matiques et de Statistique, Universit\u00e9 de Montr\u00e9al, C. P. 6128, Succ. Centre-ville, Montr\u00e9al (Qu\u00e9), H3C 3J7, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,30]]},"reference":[{"key":"p_1","first-page":"6","volume":"31","author":"Chajda I.","year":"1992","journal-title":"Math."},{"key":"p_2","first-page":"35","author":"Chajda I.","year":"1995","journal-title":"Berlin"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01182089"},{"key":"p_5","first-page":"71","author":"Davey B. A.","year":"1993","journal-title":"Kluwer Academic Publishing"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.2307\/2275875"},{"key":"p_8","first-page":"101","author":"Davey B. A.","year":"1983","journal-title":"Amsterdam"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01190718"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1007\/BF01462258"},{"key":"p_12","first-page":"253","volume":"14","author":"Plonka J.","year":"1988","journal-title":"Houston J. Math."},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972700014301"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196700000212","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T17:37:24Z","timestamp":1565199444000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196700000212"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,10]]},"references-count":10,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2012,4,30]]},"published-print":{"date-parts":[[2000,10]]}},"alternative-id":["10.1142\/S0218196700000212"],"URL":"https:\/\/doi.org\/10.1142\/s0218196700000212","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,10]]}}}