{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T12:41:58Z","timestamp":1776688918538,"version":"3.51.2"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2003,2]]},"abstract":"<jats:p> We develop a method of creating skew congruences on subpowers of finite algebras using groups of twin polynomials, and apply it to the investigation of residually small varieties generated by nilpotent algebras. We prove that a residually small variety generated by a finite nilpotent (in particular, a solvable E-minimal) algebra is weakly abelian. Conversely, we show in two special cases that a weakly abelian variety is residually bounded by a finite number: when it is generated by an E-minimal, or by a finite strongly nilpotent algebra. This establishes the RS-conjecture for E-minimal algebras. <\/jats:p>","DOI":"10.1142\/s0218196703001237","type":"journal-article","created":{"date-parts":[[2003,3,27]],"date-time":"2003-03-27T09:28:57Z","timestamp":1048757337000},"page":"35-59","source":"Crossref","is-referenced-by-count":4,"title":["RESIDUAL SMALLNESS AND WEAK CENTRALITY"],"prefix":"10.1142","volume":"13","author":[{"given":"KEITH A.","family":"KEARNES","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of  Colorado, Boulder, CO 80309-0395, USA"}]},{"given":"EMIL W.","family":"KISS","sequence":"additional","affiliation":[{"name":"E\u00f6tv\u00f6s University,  Department of Algebra and Number Theory, 1088 Budapest,  M\u00fazeum krt. 6\u20138, Hungary"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Commutator theory for congruence modular varieties","author":"Freese R.","year":"1987"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1981-0603772-9"},{"key":"rf3","series-title":"The structure of finite algebras","volume-title":"Contemp. Math.","volume":"76","author":"Hobby D.","year":"1988"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196793000299"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(99)00042-4"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(98)00063-3"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/S021819679700006X"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/BF01194524"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196796000027"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1007\/BF02944989"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01879739"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196703001237","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:56:37Z","timestamp":1565128597000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196703001237"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,2]]},"references-count":11,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,2]]}},"alternative-id":["10.1142\/S0218196703001237"],"URL":"https:\/\/doi.org\/10.1142\/s0218196703001237","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,2]]}}}