{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T03:12:14Z","timestamp":1767237134465},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Algebra Appl."],"published-print":{"date-parts":[[2017,4]]},"abstract":"<jats:p> In this paper, we introduce and study a new exactness property in the sense of categorical algebra, which can be seen as a natural strengthening of the well-known Mal\u2019tsev property. A variety of universal algebras has this exactness property if and only if its algebraic theory contains binary terms [Formula: see text] and an [Formula: see text]-ary term [Formula: see text] satisfying [Formula: see text], and [Formula: see text] for each [Formula: see text]. We also study the \u201cweak\u201d version of this exactness property, which similarly strengthens the \u201cweak Mal\u2019tsev property\u201d in the sense of the second author. <\/jats:p>","DOI":"10.1142\/s0219498817500748","type":"journal-article","created":{"date-parts":[[2016,4,14]],"date-time":"2016-04-14T03:12:13Z","timestamp":1460603533000},"page":"1750074","source":"Crossref","is-referenced-by-count":2,"title":["Involution-rigidness \u2014 a new exactness property, and its weak version"],"prefix":"10.1142","volume":"16","author":[{"given":"Zurab","family":"Janelidze","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Stellenbosch University, Stellenbosch, South Africa"}]},{"given":"Nelson","family":"Martins-Ferreira","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Escola Superior de Tecnologia e Gest\u00e3o, Centro para o Desenvolvimento R\u00e1pido e Sustentado do Produto, Instituto Polit\u00e9cnico de Leiria, Leiria, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2017,4,13]]},"reference":[{"key":"S0219498817500748BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0084212"},{"key":"S0219498817500748BIB002","first-page":"143","volume":"11","author":"Bourn D.","year":"2003","journal-title":"Theory Appl. Categ."},{"key":"S0219498817500748BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/s00012-011-0156-x"},{"key":"S0219498817500748BIB005","first-page":"221","volume":"23","author":"Janelidze Z.","year":"2010","journal-title":"Theory Appl. Categ."},{"key":"S0219498817500748BIB006","first-page":"65","volume":"27","author":"Janelidze Z.","year":"2012","journal-title":"Theory Appl. Categ."},{"key":"S0219498817500748BIB007","series-title":"Graduate Texts in Mathematics","volume-title":"Categories for the Working Mathematician","volume":"5","author":"Mac Lane S.","year":"1998","edition":"2"},{"issue":"77","key":"S0219498817500748BIB008","first-page":"3","volume":"35","author":"Mal\u2019tsev A. I.","year":"1954","journal-title":"Math. Sbornik (N.S.)"},{"key":"S0219498817500748BIB009","first-page":"91","volume":"21","author":"Martins-Ferreira N.","year":"2008","journal-title":"Theory Appl. Categ."},{"key":"S0219498817500748BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2012.02.033"}],"container-title":["Journal of Algebra and Its Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219498817500748","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T11:49:59Z","timestamp":1565092199000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219498817500748"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4]]},"references-count":9,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2017,4,13]]},"published-print":{"date-parts":[[2017,4]]}},"alternative-id":["10.1142\/S0219498817500748"],"URL":"https:\/\/doi.org\/10.1142\/s0219498817500748","relation":{},"ISSN":["0219-4988","1793-6829"],"issn-type":[{"value":"0219-4988","type":"print"},{"value":"1793-6829","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,4]]}}}